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Finding the Fourth Proportional to 15,411.96, 23,126.04 and 8,397

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Solution

The fourth proportional to 15,411.96, 23,126.04 and 8,397 is: 12,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.96 : 23,126.04 = 8,397 : x
  2. Step 2: Convert to fraction form
    15,411.96/23,126.04 = 8,397/x
  3. Step 3: Cross multiply
    15,411.96x = 23,126.04 × 8,397
  4. Step 4: Simplify right side
    15,411.96x = 194,189,357.88
  5. Step 5: Solve for x
    x = 194,189,357.88/15,411.96
  6. Step 6: Final answer
    x = 12,599.91

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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.