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Finding the Fourth Proportional to 12,281.76, 16,949.52 and 8,087.04

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Solution

The fourth proportional to 12,281.76, 16,949.52 and 8,087.04 is: 11,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.76 : 16,949.52 = 8,087.04 : x
  2. Step 2: Convert to fraction form
    12,281.76/16,949.52 = 8,087.04/x
  3. Step 3: Cross multiply
    12,281.76x = 16,949.52 × 8,087.04
  4. Step 4: Simplify right side
    12,281.76x = 137,071,446.22
  5. Step 5: Solve for x
    x = 137,071,446.22/12,281.76
  6. Step 6: Final answer
    x = 11,160.57

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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.