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Finding the Fourth Proportional to 37,669, 51,984.84 and 20,902

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Solution

The fourth proportional to 37,669, 51,984.84 and 20,902 is: 28,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669 : 51,984.84 = 20,902 : x
  2. Step 2: Convert to fraction form
    37,669/51,984.84 = 20,902/x
  3. Step 3: Cross multiply
    37,669x = 51,984.84 × 20,902
  4. Step 4: Simplify right side
    37,669x = 1,086,587,125.68
  5. Step 5: Solve for x
    x = 1,086,587,125.68/37,669
  6. Step 6: Final answer
    x = 28,845.66

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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.