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Finding the Fourth Proportional to 39,775.57, 54,891.57 and 21,871.87

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Solution

The fourth proportional to 39,775.57, 54,891.57 and 21,871.87 is: 30,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,775.57 : 54,891.57 = 21,871.87 : x
  2. Step 2: Convert to fraction form
    39,775.57/54,891.57 = 21,871.87/x
  3. Step 3: Cross multiply
    39,775.57x = 54,891.57 × 21,871.87
  4. Step 4: Simplify right side
    39,775.57x = 1,200,581,283.14
  5. Step 5: Solve for x
    x = 1,200,581,283.14/39,775.57
  6. Step 6: Final answer
    x = 30,183.89

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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.