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Finding the Fourth Proportional to 20,940, 28,897.20 and 11,509.17

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Solution

The fourth proportional to 20,940, 28,897.20 and 11,509.17 is: 15,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940 : 28,897.20 = 11,509.17 : x
  2. Step 2: Convert to fraction form
    20,940/28,897.20 = 11,509.17/x
  3. Step 3: Cross multiply
    20,940x = 28,897.20 × 11,509.17
  4. Step 4: Simplify right side
    20,940x = 332,582,787.32
  5. Step 5: Solve for x
    x = 332,582,787.32/20,940
  6. Step 6: Final answer
    x = 15,882.65

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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.