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Finding the Fourth Proportional to 38,445, 57,671.28 and 10,743

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Solution

The fourth proportional to 38,445, 57,671.28 and 10,743 is: 16,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,445 : 57,671.28 = 10,743 : x
  2. Step 2: Convert to fraction form
    38,445/57,671.28 = 10,743/x
  3. Step 3: Cross multiply
    38,445x = 57,671.28 × 10,743
  4. Step 4: Simplify right side
    38,445x = 619,562,561.04
  5. Step 5: Solve for x
    x = 619,562,561.04/38,445
  6. Step 6: Final answer
    x = 16,115.56

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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.