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Finding the Fourth Proportional to 38,491.61, 57,739.03 and 12,195.77

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Solution

The fourth proportional to 38,491.61, 57,739.03 and 12,195.77 is: 18,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.61 : 57,739.03 = 12,195.77 : x
  2. Step 2: Convert to fraction form
    38,491.61/57,739.03 = 12,195.77/x
  3. Step 3: Cross multiply
    38,491.61x = 57,739.03 × 12,195.77
  4. Step 4: Simplify right side
    38,491.61x = 704,171,610.72
  5. Step 5: Solve for x
    x = 704,171,610.72/38,491.61
  6. Step 6: Final answer
    x = 18,294.16

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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.