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Finding the Fourth Proportional to 9,156, 13,733.31 and 2,915.76

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Solution

The fourth proportional to 9,156, 13,733.31 and 2,915.76 is: 4,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 13,733.31 = 2,915.76 : x
  2. Step 2: Convert to fraction form
    9,156/13,733.31 = 2,915.76/x
  3. Step 3: Cross multiply
    9,156x = 13,733.31 × 2,915.76
  4. Step 4: Simplify right side
    9,156x = 40,043,035.97
  5. Step 5: Solve for x
    x = 40,043,035.97/9,156
  6. Step 6: Final answer
    x = 4,373.42

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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.