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Finding the Fourth Proportional to 38,079, 57,105.95 and 13,118.49

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Solution

The fourth proportional to 38,079, 57,105.95 and 13,118.49 is: 19,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,079 : 57,105.95 = 13,118.49 : x
  2. Step 2: Convert to fraction form
    38,079/57,105.95 = 13,118.49/x
  3. Step 3: Cross multiply
    38,079x = 57,105.95 × 13,118.49
  4. Step 4: Simplify right side
    38,079x = 749,143,768.42
  5. Step 5: Solve for x
    x = 749,143,768.42/38,079
  6. Step 6: Final answer
    x = 19,673.41

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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.