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Finding the Fourth Proportional to 2,617.96, 3,927.19 and 974.12

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Solution

The fourth proportional to 2,617.96, 3,927.19 and 974.12 is: 1,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.96 : 3,927.19 = 974.12 : x
  2. Step 2: Convert to fraction form
    2,617.96/3,927.19 = 974.12/x
  3. Step 3: Cross multiply
    2,617.96x = 3,927.19 × 974.12
  4. Step 4: Simplify right side
    2,617.96x = 3,825,554.32
  5. Step 5: Solve for x
    x = 3,825,554.32/2,617.96
  6. Step 6: Final answer
    x = 1,461.27

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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.