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Finding the Fourth Proportional to 13,531.18, 20,257.08 and 10,257.16

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Solution

The fourth proportional to 13,531.18, 20,257.08 and 10,257.16 is: 15,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.18 : 20,257.08 = 10,257.16 : x
  2. Step 2: Convert to fraction form
    13,531.18/20,257.08 = 10,257.16/x
  3. Step 3: Cross multiply
    13,531.18x = 20,257.08 × 10,257.16
  4. Step 4: Simplify right side
    13,531.18x = 207,780,110.69
  5. Step 5: Solve for x
    x = 207,780,110.69/13,531.18
  6. Step 6: Final answer
    x = 15,355.65

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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.