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Finding the Fourth Proportional to 37,297, 51,470.68 and 20,530

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Solution

The fourth proportional to 37,297, 51,470.68 and 20,530 is: 28,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,297 : 51,470.68 = 20,530 : x
  2. Step 2: Convert to fraction form
    37,297/51,470.68 = 20,530/x
  3. Step 3: Cross multiply
    37,297x = 51,470.68 × 20,530
  4. Step 4: Simplify right side
    37,297x = 1,056,693,060.40
  5. Step 5: Solve for x
    x = 1,056,693,060.40/37,297
  6. Step 6: Final answer
    x = 28,331.85

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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.