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Finding the Fourth Proportional to 3,854.52, 5,770.26 and 2,878.20

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Solution

The fourth proportional to 3,854.52, 5,770.26 and 2,878.20 is: 4,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.52 : 5,770.26 = 2,878.20 : x
  2. Step 2: Convert to fraction form
    3,854.52/5,770.26 = 2,878.20/x
  3. Step 3: Cross multiply
    3,854.52x = 5,770.26 × 2,878.20
  4. Step 4: Simplify right side
    3,854.52x = 16,607,962.33
  5. Step 5: Solve for x
    x = 16,607,962.33/3,854.52
  6. Step 6: Final answer
    x = 4,308.70

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1.5x scale

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.