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Finding the Fourth Proportional to 3,789.90, 5,214.51 and 3,702.42

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Solution

The fourth proportional to 3,789.90, 5,214.51 and 3,702.42 is: 5,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.90 : 5,214.51 = 3,702.42 : x
  2. Step 2: Convert to fraction form
    3,789.90/5,214.51 = 3,702.42/x
  3. Step 3: Cross multiply
    3,789.90x = 5,214.51 × 3,702.42
  4. Step 4: Simplify right side
    3,789.90x = 19,306,306.11
  5. Step 5: Solve for x
    x = 19,306,306.11/3,789.90
  6. Step 6: Final answer
    x = 5,094.15

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1.5x scale

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.