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Finding the Fourth Proportional to 57,638.40, 86,470.39 and 17,662.92

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Solution

The fourth proportional to 57,638.40, 86,470.39 and 17,662.92 is: 26,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638.40 : 86,470.39 = 17,662.92 : x
  2. Step 2: Convert to fraction form
    57,638.40/86,470.39 = 17,662.92/x
  3. Step 3: Cross multiply
    57,638.40x = 86,470.39 × 17,662.92
  4. Step 4: Simplify right side
    57,638.40x = 1,527,319,580.94
  5. Step 5: Solve for x
    x = 1,527,319,580.94/57,638.40
  6. Step 6: Final answer
    x = 26,498.30

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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.