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Finding the Fourth Proportional to 31,979.82, 47,967.72 and 9,791.10

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Solution

The fourth proportional to 31,979.82, 47,967.72 and 9,791.10 is: 14,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.82 : 47,967.72 = 9,791.10 : x
  2. Step 2: Convert to fraction form
    31,979.82/47,967.72 = 9,791.10/x
  3. Step 3: Cross multiply
    31,979.82x = 47,967.72 × 9,791.10
  4. Step 4: Simplify right side
    31,979.82x = 469,656,743.29
  5. Step 5: Solve for x
    x = 469,656,743.29/31,979.82
  6. Step 6: Final answer
    x = 14,686.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.