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Finding the Fourth Proportional to 3,897.16, 5,843.58 and 1,948.36

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Solution

The fourth proportional to 3,897.16, 5,843.58 and 1,948.36 is: 2,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.16 : 5,843.58 = 1,948.36 : x
  2. Step 2: Convert to fraction form
    3,897.16/5,843.58 = 1,948.36/x
  3. Step 3: Cross multiply
    3,897.16x = 5,843.58 × 1,948.36
  4. Step 4: Simplify right side
    3,897.16x = 11,385,397.53
  5. Step 5: Solve for x
    x = 11,385,397.53/3,897.16
  6. Step 6: Final answer
    x = 2,921.46

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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.