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Finding the Fourth Proportional to 39,174.80, 58,771.92 and 18,374

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Solution

The fourth proportional to 39,174.80, 58,771.92 and 18,374 is: 27,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,174.80 : 58,771.92 = 18,374 : x
  2. Step 2: Convert to fraction form
    39,174.80/58,771.92 = 18,374/x
  3. Step 3: Cross multiply
    39,174.80x = 58,771.92 × 18,374
  4. Step 4: Simplify right side
    39,174.80x = 1,079,875,258.08
  5. Step 5: Solve for x
    x = 1,079,875,258.08/39,174.80
  6. Step 6: Final answer
    x = 27,565.56

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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.