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Finding the Fourth Proportional to 31,500, 43,470 and 17,352.80

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Solution

The fourth proportional to 31,500, 43,470 and 17,352.80 is: 23,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500 : 43,470 = 17,352.80 : x
  2. Step 2: Convert to fraction form
    31,500/43,470 = 17,352.80/x
  3. Step 3: Cross multiply
    31,500x = 43,470 × 17,352.80
  4. Step 4: Simplify right side
    31,500x = 754,326,216
  5. Step 5: Solve for x
    x = 754,326,216/31,500
  6. Step 6: Final answer
    x = 23,946.86

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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.