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Finding the Fourth Proportional to 39,641.21, 59,471.73 and 27,977.21

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Solution

The fourth proportional to 39,641.21, 59,471.73 and 27,977.21 is: 41,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,641.21 : 59,471.73 = 27,977.21 : x
  2. Step 2: Convert to fraction form
    39,641.21/59,471.73 = 27,977.21/x
  3. Step 3: Cross multiply
    39,641.21x = 59,471.73 × 27,977.21
  4. Step 4: Simplify right side
    39,641.21x = 1,663,853,079.27
  5. Step 5: Solve for x
    x = 1,663,853,079.27/39,641.21
  6. Step 6: Final answer
    x = 41,972.81

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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.