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Finding the Fourth Proportional to 31,790, 47,673.48 and 14,250.80

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Solution

The fourth proportional to 31,790, 47,673.48 and 14,250.80 is: 21,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790 : 47,673.48 = 14,250.80 : x
  2. Step 2: Convert to fraction form
    31,790/47,673.48 = 14,250.80/x
  3. Step 3: Cross multiply
    31,790x = 47,673.48 × 14,250.80
  4. Step 4: Simplify right side
    31,790x = 679,385,228.78
  5. Step 5: Solve for x
    x = 679,385,228.78/31,790
  6. Step 6: Final answer
    x = 21,371.04

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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.