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Finding the Fourth Proportional to 7,509.40, 11,264.10 and 7,460.80

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Solution

The fourth proportional to 7,509.40, 11,264.10 and 7,460.80 is: 11,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.40 : 11,264.10 = 7,460.80 : x
  2. Step 2: Convert to fraction form
    7,509.40/11,264.10 = 7,460.80/x
  3. Step 3: Cross multiply
    7,509.40x = 11,264.10 × 7,460.80
  4. Step 4: Simplify right side
    7,509.40x = 84,039,197.28
  5. Step 5: Solve for x
    x = 84,039,197.28/7,509.40
  6. Step 6: Final answer
    x = 11,191.20

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.