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Finding the Fourth Proportional to 9,943.40, 13,700.26 and 7,424.52

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Solution

The fourth proportional to 9,943.40, 13,700.26 and 7,424.52 is: 10,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.40 : 13,700.26 = 7,424.52 : x
  2. Step 2: Convert to fraction form
    9,943.40/13,700.26 = 7,424.52/x
  3. Step 3: Cross multiply
    9,943.40x = 13,700.26 × 7,424.52
  4. Step 4: Simplify right side
    9,943.40x = 101,717,854.38
  5. Step 5: Solve for x
    x = 101,717,854.38/9,943.40
  6. Step 6: Final answer
    x = 10,229.69

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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.