Home / 31,542-47,312.88-21,651.24

Finding the Fourth Proportional to 31,542, 47,312.88 and 21,651.24

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Solution

The fourth proportional to 31,542, 47,312.88 and 21,651.24 is: 32,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542 : 47,312.88 = 21,651.24 : x
  2. Step 2: Convert to fraction form
    31,542/47,312.88 = 21,651.24/x
  3. Step 3: Cross multiply
    31,542x = 47,312.88 × 21,651.24
  4. Step 4: Simplify right side
    31,542x = 1,024,382,519.97
  5. Step 5: Solve for x
    x = 1,024,382,519.97/31,542
  6. Step 6: Final answer
    x = 32,476.78

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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.