Home / 31,704-47,564.19-11,982.72

Finding the Fourth Proportional to 31,704, 47,564.19 and 11,982.72

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Solution

The fourth proportional to 31,704, 47,564.19 and 11,982.72 is: 17,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704 : 47,564.19 = 11,982.72 : x
  2. Step 2: Convert to fraction form
    31,704/47,564.19 = 11,982.72/x
  3. Step 3: Cross multiply
    31,704x = 47,564.19 × 11,982.72
  4. Step 4: Simplify right side
    31,704x = 569,948,370.80
  5. Step 5: Solve for x
    x = 569,948,370.80/31,704
  6. Step 6: Final answer
    x = 17,977.18

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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.