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Finding the Fourth Proportional to 3,895.78, 5,843.68 and 974.09

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Solution

The fourth proportional to 3,895.78, 5,843.68 and 974.09 is: 1,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.78 : 5,843.68 = 974.09 : x
  2. Step 2: Convert to fraction form
    3,895.78/5,843.68 = 974.09/x
  3. Step 3: Cross multiply
    3,895.78x = 5,843.68 × 974.09
  4. Step 4: Simplify right side
    3,895.78x = 5,692,270.25
  5. Step 5: Solve for x
    x = 5,692,270.25/3,895.78
  6. Step 6: Final answer
    x = 1,461.14

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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.