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Finding the Fourth Proportional to 11,230.76, 15,482.04 and 7,862.96

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Solution

The fourth proportional to 11,230.76, 15,482.04 and 7,862.96 is: 10,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.76 : 15,482.04 = 7,862.96 : x
  2. Step 2: Convert to fraction form
    11,230.76/15,482.04 = 7,862.96/x
  3. Step 3: Cross multiply
    11,230.76x = 15,482.04 × 7,862.96
  4. Step 4: Simplify right side
    11,230.76x = 121,734,661.24
  5. Step 5: Solve for x
    x = 121,734,661.24/11,230.76
  6. Step 6: Final answer
    x = 10,839.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.