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Finding the Fourth Proportional to 39,687.90, 54,769.87 and 21,782.58

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Solution

The fourth proportional to 39,687.90, 54,769.87 and 21,782.58 is: 30,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,687.90 : 54,769.87 = 21,782.58 : x
  2. Step 2: Convert to fraction form
    39,687.90/54,769.87 = 21,782.58/x
  3. Step 3: Cross multiply
    39,687.90x = 54,769.87 × 21,782.58
  4. Step 4: Simplify right side
    39,687.90x = 1,193,029,074.86
  5. Step 5: Solve for x
    x = 1,193,029,074.86/39,687.90
  6. Step 6: Final answer
    x = 30,060.27

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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.