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Finding the Fourth Proportional to 2,574.76, 3,862.74 and 843.28

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Solution

The fourth proportional to 2,574.76, 3,862.74 and 843.28 is: 1,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.76 : 3,862.74 = 843.28 : x
  2. Step 2: Convert to fraction form
    2,574.76/3,862.74 = 843.28/x
  3. Step 3: Cross multiply
    2,574.76x = 3,862.74 × 843.28
  4. Step 4: Simplify right side
    2,574.76x = 3,257,371.39
  5. Step 5: Solve for x
    x = 3,257,371.39/2,574.76
  6. Step 6: Final answer
    x = 1,265.12

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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.