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Finding the Fourth Proportional to 11,397, 15,727.88 and 6,429

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Solution

The fourth proportional to 11,397, 15,727.88 and 6,429 is: 8,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 15,727.88 = 6,429 : x
  2. Step 2: Convert to fraction form
    11,397/15,727.88 = 6,429/x
  3. Step 3: Cross multiply
    11,397x = 15,727.88 × 6,429
  4. Step 4: Simplify right side
    11,397x = 101,114,540.52
  5. Step 5: Solve for x
    x = 101,114,540.52/11,397
  6. Step 6: Final answer
    x = 8,872.03

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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.