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Finding the Fourth Proportional to 12,432.56, 17,155.14 and 6,843.56

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Solution

The fourth proportional to 12,432.56, 17,155.14 and 6,843.56 is: 9,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.56 : 17,155.14 = 6,843.56 : x
  2. Step 2: Convert to fraction form
    12,432.56/17,155.14 = 6,843.56/x
  3. Step 3: Cross multiply
    12,432.56x = 17,155.14 × 6,843.56
  4. Step 4: Simplify right side
    12,432.56x = 117,402,229.90
  5. Step 5: Solve for x
    x = 117,402,229.90/12,432.56
  6. Step 6: Final answer
    x = 9,443.13

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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.