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Finding the Fourth Proportional to 3,853.59, 5,781.03 and 1,354.13

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Solution

The fourth proportional to 3,853.59, 5,781.03 and 1,354.13 is: 2,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.59 : 5,781.03 = 1,354.13 : x
  2. Step 2: Convert to fraction form
    3,853.59/5,781.03 = 1,354.13/x
  3. Step 3: Cross multiply
    3,853.59x = 5,781.03 × 1,354.13
  4. Step 4: Simplify right side
    3,853.59x = 7,828,266.15
  5. Step 5: Solve for x
    x = 7,828,266.15/3,853.59
  6. Step 6: Final answer
    x = 2,031.42

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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.