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Finding the Fourth Proportional to 12,891.52, 17,780.16 and 8,641.12

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Solution

The fourth proportional to 12,891.52, 17,780.16 and 8,641.12 is: 11,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.52 : 17,780.16 = 8,641.12 : x
  2. Step 2: Convert to fraction form
    12,891.52/17,780.16 = 8,641.12/x
  3. Step 3: Cross multiply
    12,891.52x = 17,780.16 × 8,641.12
  4. Step 4: Simplify right side
    12,891.52x = 153,640,496.18
  5. Step 5: Solve for x
    x = 153,640,496.18/12,891.52
  6. Step 6: Final answer
    x = 11,917.95

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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.