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Finding the Fourth Proportional to 2,574.92, 3,861.30 and 1,405.88

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Solution

The fourth proportional to 2,574.92, 3,861.30 and 1,405.88 is: 2,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.92 : 3,861.30 = 1,405.88 : x
  2. Step 2: Convert to fraction form
    2,574.92/3,861.30 = 1,405.88/x
  3. Step 3: Cross multiply
    2,574.92x = 3,861.30 × 1,405.88
  4. Step 4: Simplify right side
    2,574.92x = 5,428,524.44
  5. Step 5: Solve for x
    x = 5,428,524.44/2,574.92
  6. Step 6: Final answer
    x = 2,108.23

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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.