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Finding the Fourth Proportional to 38,379, 57,571.76 and 10,677

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Solution

The fourth proportional to 38,379, 57,571.76 and 10,677 is: 16,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,379 : 57,571.76 = 10,677 : x
  2. Step 2: Convert to fraction form
    38,379/57,571.76 = 10,677/x
  3. Step 3: Cross multiply
    38,379x = 57,571.76 × 10,677
  4. Step 4: Simplify right side
    38,379x = 614,693,681.52
  5. Step 5: Solve for x
    x = 614,693,681.52/38,379
  6. Step 6: Final answer
    x = 16,016.41

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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.