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Finding the Fourth Proportional to 31,708, 43,757.04 and 18,460

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Solution

The fourth proportional to 31,708, 43,757.04 and 18,460 is: 25,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708 : 43,757.04 = 18,460 : x
  2. Step 2: Convert to fraction form
    31,708/43,757.04 = 18,460/x
  3. Step 3: Cross multiply
    31,708x = 43,757.04 × 18,460
  4. Step 4: Simplify right side
    31,708x = 807,754,958.40
  5. Step 5: Solve for x
    x = 807,754,958.40/31,708
  6. Step 6: Final answer
    x = 25,474.80

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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.