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Finding the Fourth Proportional to 13,505.76, 18,643.64 and 8,202.29

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Solution

The fourth proportional to 13,505.76, 18,643.64 and 8,202.29 is: 11,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.76 : 18,643.64 = 8,202.29 : x
  2. Step 2: Convert to fraction form
    13,505.76/18,643.64 = 8,202.29/x
  3. Step 3: Cross multiply
    13,505.76x = 18,643.64 × 8,202.29
  4. Step 4: Simplify right side
    13,505.76x = 152,920,407.71
  5. Step 5: Solve for x
    x = 152,920,407.71/13,505.76
  6. Step 6: Final answer
    x = 11,322.61

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Double scale
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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.