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Finding the Fourth Proportional to 10,906.16, 15,070.92 and 8,915.96

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Solution

The fourth proportional to 10,906.16, 15,070.92 and 8,915.96 is: 12,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.16 : 15,070.92 = 8,915.96 : x
  2. Step 2: Convert to fraction form
    10,906.16/15,070.92 = 8,915.96/x
  3. Step 3: Cross multiply
    10,906.16x = 15,070.92 × 8,915.96
  4. Step 4: Simplify right side
    10,906.16x = 134,371,719.88
  5. Step 5: Solve for x
    x = 134,371,719.88/10,906.16
  6. Step 6: Final answer
    x = 12,320.72

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1.5x scale

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.