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Finding the Fourth Proportional to 17,154.71, 25,736.12 and 13,657.94

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Solution

The fourth proportional to 17,154.71, 25,736.12 and 13,657.94 is: 20,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.71 : 25,736.12 = 13,657.94 : x
  2. Step 2: Convert to fraction form
    17,154.71/25,736.12 = 13,657.94/x
  3. Step 3: Cross multiply
    17,154.71x = 25,736.12 × 13,657.94
  4. Step 4: Simplify right side
    17,154.71x = 351,502,382.79
  5. Step 5: Solve for x
    x = 351,502,382.79/17,154.71
  6. Step 6: Final answer
    x = 20,490.14

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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.