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Finding the Fourth Proportional to 20,778, 31,176.14 and 10,915

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Solution

The fourth proportional to 20,778, 31,176.14 and 10,915 is: 16,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 31,176.14 = 10,915 : x
  2. Step 2: Convert to fraction form
    20,778/31,176.14 = 10,915/x
  3. Step 3: Cross multiply
    20,778x = 31,176.14 × 10,915
  4. Step 4: Simplify right side
    20,778x = 340,287,568.10
  5. Step 5: Solve for x
    x = 340,287,568.10/20,778
  6. Step 6: Final answer
    x = 16,377.30

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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.