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Finding the Fourth Proportional to 3,801.40, 5,702.10 and 2,489.20

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Solution

The fourth proportional to 3,801.40, 5,702.10 and 2,489.20 is: 3,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.40 : 5,702.10 = 2,489.20 : x
  2. Step 2: Convert to fraction form
    3,801.40/5,702.10 = 2,489.20/x
  3. Step 3: Cross multiply
    3,801.40x = 5,702.10 × 2,489.20
  4. Step 4: Simplify right side
    3,801.40x = 14,193,667.32
  5. Step 5: Solve for x
    x = 14,193,667.32/3,801.40
  6. Step 6: Final answer
    x = 3,733.80

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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.