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Finding the Fourth Proportional to 12,280.32, 16,946.88 and 6,691.32

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Solution

The fourth proportional to 12,280.32, 16,946.88 and 6,691.32 is: 9,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.32 : 16,946.88 = 6,691.32 : x
  2. Step 2: Convert to fraction form
    12,280.32/16,946.88 = 6,691.32/x
  3. Step 3: Cross multiply
    12,280.32x = 16,946.88 × 6,691.32
  4. Step 4: Simplify right side
    12,280.32x = 113,396,997.08
  5. Step 5: Solve for x
    x = 113,396,997.08/12,280.32
  6. Step 6: Final answer
    x = 9,234.04

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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.