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Finding the Fourth Proportional to 31,604.97, 47,412.02 and 9,425.15

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Solution

The fourth proportional to 31,604.97, 47,412.02 and 9,425.15 is: 14,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.97 : 47,412.02 = 9,425.15 : x
  2. Step 2: Convert to fraction form
    31,604.97/47,412.02 = 9,425.15/x
  3. Step 3: Cross multiply
    31,604.97x = 47,412.02 × 9,425.15
  4. Step 4: Simplify right side
    31,604.97x = 446,865,400.30
  5. Step 5: Solve for x
    x = 446,865,400.30/31,604.97
  6. Step 6: Final answer
    x = 14,139.09

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1.5x scale

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.