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Finding the Fourth Proportional to 39,689.68, 54,769.96 and 23,782.96

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Solution

The fourth proportional to 39,689.68, 54,769.96 and 23,782.96 is: 32,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,689.68 : 54,769.96 = 23,782.96 : x
  2. Step 2: Convert to fraction form
    39,689.68/54,769.96 = 23,782.96/x
  3. Step 3: Cross multiply
    39,689.68x = 54,769.96 × 23,782.96
  4. Step 4: Simplify right side
    39,689.68x = 1,302,591,767.88
  5. Step 5: Solve for x
    x = 1,302,591,767.88/39,689.68
  6. Step 6: Final answer
    x = 32,819.41

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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.