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Finding the Fourth Proportional to 11,387, 15,714.12 and 6,419

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Solution

The fourth proportional to 11,387, 15,714.12 and 6,419 is: 8,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387 : 15,714.12 = 6,419 : x
  2. Step 2: Convert to fraction form
    11,387/15,714.12 = 6,419/x
  3. Step 3: Cross multiply
    11,387x = 15,714.12 × 6,419
  4. Step 4: Simplify right side
    11,387x = 100,868,936.28
  5. Step 5: Solve for x
    x = 100,868,936.28/11,387
  6. Step 6: Final answer
    x = 8,858.25

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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.