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Finding the Fourth Proportional to 15,156, 20,915.28 and 8,532

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Solution

The fourth proportional to 15,156, 20,915.28 and 8,532 is: 11,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156 : 20,915.28 = 8,532 : x
  2. Step 2: Convert to fraction form
    15,156/20,915.28 = 8,532/x
  3. Step 3: Cross multiply
    15,156x = 20,915.28 × 8,532
  4. Step 4: Simplify right side
    15,156x = 178,449,168.96
  5. Step 5: Solve for x
    x = 178,449,168.96/15,156
  6. Step 6: Final answer
    x = 11,774.16

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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.