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Finding the Fourth Proportional to 3,853.56, 5,781.88 and 2,294.30

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Solution

The fourth proportional to 3,853.56, 5,781.88 and 2,294.30 is: 3,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.56 : 5,781.88 = 2,294.30 : x
  2. Step 2: Convert to fraction form
    3,853.56/5,781.88 = 2,294.30/x
  3. Step 3: Cross multiply
    3,853.56x = 5,781.88 × 2,294.30
  4. Step 4: Simplify right side
    3,853.56x = 13,265,368.35
  5. Step 5: Solve for x
    x = 13,265,368.35/3,853.56
  6. Step 6: Final answer
    x = 3,442.37

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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.