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Finding the Fourth Proportional to 37,746, 52,091.10 and 20,979

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Solution

The fourth proportional to 37,746, 52,091.10 and 20,979 is: 28,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746 : 52,091.10 = 20,979 : x
  2. Step 2: Convert to fraction form
    37,746/52,091.10 = 20,979/x
  3. Step 3: Cross multiply
    37,746x = 52,091.10 × 20,979
  4. Step 4: Simplify right side
    37,746x = 1,092,819,186.90
  5. Step 5: Solve for x
    x = 1,092,819,186.90/37,746
  6. Step 6: Final answer
    x = 28,951.92

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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.