Home / 31,600.90-47,416-13,829.22

Finding the Fourth Proportional to 31,600.90, 47,416 and 13,829.22

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Solution

The fourth proportional to 31,600.90, 47,416 and 13,829.22 is: 20,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.90 : 47,416 = 13,829.22 : x
  2. Step 2: Convert to fraction form
    31,600.90/47,416 = 13,829.22/x
  3. Step 3: Cross multiply
    31,600.90x = 47,416 × 13,829.22
  4. Step 4: Simplify right side
    31,600.90x = 655,726,295.52
  5. Step 5: Solve for x
    x = 655,726,295.52/31,600.90
  6. Step 6: Final answer
    x = 20,750.24

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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.