Home / 31,813-47,721.16-9,625.80

Finding the Fourth Proportional to 31,813, 47,721.16 and 9,625.80

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Solution

The fourth proportional to 31,813, 47,721.16 and 9,625.80 is: 14,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813 : 47,721.16 = 9,625.80 : x
  2. Step 2: Convert to fraction form
    31,813/47,721.16 = 9,625.80/x
  3. Step 3: Cross multiply
    31,813x = 47,721.16 × 9,625.80
  4. Step 4: Simplify right side
    31,813x = 459,354,341.93
  5. Step 5: Solve for x
    x = 459,354,341.93/31,813
  6. Step 6: Final answer
    x = 14,439.20

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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.