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Finding the Fourth Proportional to 3,897.57, 5,843.61 and 1,948.41

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Solution

The fourth proportional to 3,897.57, 5,843.61 and 1,948.41 is: 2,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.57 : 5,843.61 = 1,948.41 : x
  2. Step 2: Convert to fraction form
    3,897.57/5,843.61 = 1,948.41/x
  3. Step 3: Cross multiply
    3,897.57x = 5,843.61 × 1,948.41
  4. Step 4: Simplify right side
    3,897.57x = 11,385,748.16
  5. Step 5: Solve for x
    x = 11,385,748.16/3,897.57
  6. Step 6: Final answer
    x = 2,921.24

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Similar ratio
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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.