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Finding the Fourth Proportional to 20,892.78, 28,831.28 and 11,461.14

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Solution

The fourth proportional to 20,892.78, 28,831.28 and 11,461.14 is: 15,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.78 : 28,831.28 = 11,461.14 : x
  2. Step 2: Convert to fraction form
    20,892.78/28,831.28 = 11,461.14/x
  3. Step 3: Cross multiply
    20,892.78x = 28,831.28 × 11,461.14
  4. Step 4: Simplify right side
    20,892.78x = 330,439,279.15
  5. Step 5: Solve for x
    x = 330,439,279.15/20,892.78
  6. Step 6: Final answer
    x = 15,815.96

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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.