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Finding the Fourth Proportional to 12,843.52, 17,720 and 7,538.56

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Solution

The fourth proportional to 12,843.52, 17,720 and 7,538.56 is: 10,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.52 : 17,720 = 7,538.56 : x
  2. Step 2: Convert to fraction form
    12,843.52/17,720 = 7,538.56/x
  3. Step 3: Cross multiply
    12,843.52x = 17,720 × 7,538.56
  4. Step 4: Simplify right side
    12,843.52x = 133,583,283.20
  5. Step 5: Solve for x
    x = 133,583,283.20/12,843.52
  6. Step 6: Final answer
    x = 10,400.83

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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.