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Finding the Fourth Proportional to 31,419, 43,358.31 and 17,271.95

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Solution

The fourth proportional to 31,419, 43,358.31 and 17,271.95 is: 23,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419 : 43,358.31 = 17,271.95 : x
  2. Step 2: Convert to fraction form
    31,419/43,358.31 = 17,271.95/x
  3. Step 3: Cross multiply
    31,419x = 43,358.31 × 17,271.95
  4. Step 4: Simplify right side
    31,419x = 748,882,345.61
  5. Step 5: Solve for x
    x = 748,882,345.61/31,419
  6. Step 6: Final answer
    x = 23,835.33

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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.