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Finding the Fourth Proportional to 2,574.76, 3,862.68 and 843.24

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Solution

The fourth proportional to 2,574.76, 3,862.68 and 843.24 is: 1,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.76 : 3,862.68 = 843.24 : x
  2. Step 2: Convert to fraction form
    2,574.76/3,862.68 = 843.24/x
  3. Step 3: Cross multiply
    2,574.76x = 3,862.68 × 843.24
  4. Step 4: Simplify right side
    2,574.76x = 3,257,166.28
  5. Step 5: Solve for x
    x = 3,257,166.28/2,574.76
  6. Step 6: Final answer
    x = 1,265.04

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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.