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Finding the Fourth Proportional to 11,857.92, 17,781.40 and 6,929.07

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Solution

The fourth proportional to 11,857.92, 17,781.40 and 6,929.07 is: 10,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.92 : 17,781.40 = 6,929.07 : x
  2. Step 2: Convert to fraction form
    11,857.92/17,781.40 = 6,929.07/x
  3. Step 3: Cross multiply
    11,857.92x = 17,781.40 × 6,929.07
  4. Step 4: Simplify right side
    11,857.92x = 123,208,565.30
  5. Step 5: Solve for x
    x = 123,208,565.30/11,857.92
  6. Step 6: Final answer
    x = 10,390.40

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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.