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Finding the Fourth Proportional to 37,747, 52,092.48 and 20,980

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Solution

The fourth proportional to 37,747, 52,092.48 and 20,980 is: 28,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,747 : 52,092.48 = 20,980 : x
  2. Step 2: Convert to fraction form
    37,747/52,092.48 = 20,980/x
  3. Step 3: Cross multiply
    37,747x = 52,092.48 × 20,980
  4. Step 4: Simplify right side
    37,747x = 1,092,900,230.40
  5. Step 5: Solve for x
    x = 1,092,900,230.40/37,747
  6. Step 6: Final answer
    x = 28,953.30

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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.