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Finding the Fourth Proportional to 38,442, 53,049.96 and 20,778

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Solution

The fourth proportional to 38,442, 53,049.96 and 20,778 is: 28,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442 : 53,049.96 = 20,778 : x
  2. Step 2: Convert to fraction form
    38,442/53,049.96 = 20,778/x
  3. Step 3: Cross multiply
    38,442x = 53,049.96 × 20,778
  4. Step 4: Simplify right side
    38,442x = 1,102,272,068.88
  5. Step 5: Solve for x
    x = 1,102,272,068.88/38,442
  6. Step 6: Final answer
    x = 28,673.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.