Home / 31,825-43,918.50-17,679.16

Finding the Fourth Proportional to 31,825, 43,918.50 and 17,679.16

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Solution

The fourth proportional to 31,825, 43,918.50 and 17,679.16 is: 24,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825 : 43,918.50 = 17,679.16 : x
  2. Step 2: Convert to fraction form
    31,825/43,918.50 = 17,679.16/x
  3. Step 3: Cross multiply
    31,825x = 43,918.50 × 17,679.16
  4. Step 4: Simplify right side
    31,825x = 776,442,188.46
  5. Step 5: Solve for x
    x = 776,442,188.46/31,825
  6. Step 6: Final answer
    x = 24,397.24

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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.