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Finding the Fourth Proportional to 31,343.74, 47,020 and 9,158.74

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Solution

The fourth proportional to 31,343.74, 47,020 and 9,158.74 is: 13,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.74 : 47,020 = 9,158.74 : x
  2. Step 2: Convert to fraction form
    31,343.74/47,020 = 9,158.74/x
  3. Step 3: Cross multiply
    31,343.74x = 47,020 × 9,158.74
  4. Step 4: Simplify right side
    31,343.74x = 430,643,954.80
  5. Step 5: Solve for x
    x = 430,643,954.80/31,343.74
  6. Step 6: Final answer
    x = 13,739.39

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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.