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Finding the Fourth Proportional to 3,884.74, 5,824.98 and 1,385.54

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Solution

The fourth proportional to 3,884.74, 5,824.98 and 1,385.54 is: 2,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.74 : 5,824.98 = 1,385.54 : x
  2. Step 2: Convert to fraction form
    3,884.74/5,824.98 = 1,385.54/x
  3. Step 3: Cross multiply
    3,884.74x = 5,824.98 × 1,385.54
  4. Step 4: Simplify right side
    3,884.74x = 8,070,742.79
  5. Step 5: Solve for x
    x = 8,070,742.79/3,884.74
  6. Step 6: Final answer
    x = 2,077.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.