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Finding the Fourth Proportional to 11,915.65, 17,864.13 and 7,523.88

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Solution

The fourth proportional to 11,915.65, 17,864.13 and 7,523.88 is: 11,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.65 : 17,864.13 = 7,523.88 : x
  2. Step 2: Convert to fraction form
    11,915.65/17,864.13 = 7,523.88/x
  3. Step 3: Cross multiply
    11,915.65x = 17,864.13 × 7,523.88
  4. Step 4: Simplify right side
    11,915.65x = 134,407,443.48
  5. Step 5: Solve for x
    x = 134,407,443.48/11,915.65
  6. Step 6: Final answer
    x = 11,279.91

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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.