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Finding the Fourth Proportional to 38,444, 57,669.78 and 10,742

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Solution

The fourth proportional to 38,444, 57,669.78 and 10,742 is: 16,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444 : 57,669.78 = 10,742 : x
  2. Step 2: Convert to fraction form
    38,444/57,669.78 = 10,742/x
  3. Step 3: Cross multiply
    38,444x = 57,669.78 × 10,742
  4. Step 4: Simplify right side
    38,444x = 619,488,776.76
  5. Step 5: Solve for x
    x = 619,488,776.76/38,444
  6. Step 6: Final answer
    x = 16,114.06

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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.