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Finding the Fourth Proportional to 12,159.52, 16,788 and 7,446.40

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Solution

The fourth proportional to 12,159.52, 16,788 and 7,446.40 is: 10,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.52 : 16,788 = 7,446.40 : x
  2. Step 2: Convert to fraction form
    12,159.52/16,788 = 7,446.40/x
  3. Step 3: Cross multiply
    12,159.52x = 16,788 × 7,446.40
  4. Step 4: Simplify right side
    12,159.52x = 125,010,163.20
  5. Step 5: Solve for x
    x = 125,010,163.20/12,159.52
  6. Step 6: Final answer
    x = 10,280.85

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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.