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Finding the Fourth Proportional to 31,787.96, 43,866.97 and 17,640.50

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Solution

The fourth proportional to 31,787.96, 43,866.97 and 17,640.50 is: 24,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.96 : 43,866.97 = 17,640.50 : x
  2. Step 2: Convert to fraction form
    31,787.96/43,866.97 = 17,640.50/x
  3. Step 3: Cross multiply
    31,787.96x = 43,866.97 × 17,640.50
  4. Step 4: Simplify right side
    31,787.96x = 773,835,020.85
  5. Step 5: Solve for x
    x = 773,835,020.85/31,787.96
  6. Step 6: Final answer
    x = 24,343.66

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1.5x scale

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.