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Finding the Fourth Proportional to 17,909.68, 26,857.50 and 10,516

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Solution

The fourth proportional to 17,909.68, 26,857.50 and 10,516 is: 15,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.68 : 26,857.50 = 10,516 : x
  2. Step 2: Convert to fraction form
    17,909.68/26,857.50 = 10,516/x
  3. Step 3: Cross multiply
    17,909.68x = 26,857.50 × 10,516
  4. Step 4: Simplify right side
    17,909.68x = 282,433,470
  5. Step 5: Solve for x
    x = 282,433,470/17,909.68
  6. Step 6: Final answer
    x = 15,769.88

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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.