Home / 2,534.85-3,802.25-686.15

Finding the Fourth Proportional to 2,534.85, 3,802.25 and 686.15

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Solution

The fourth proportional to 2,534.85, 3,802.25 and 686.15 is: 1,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.85 : 3,802.25 = 686.15 : x
  2. Step 2: Convert to fraction form
    2,534.85/3,802.25 = 686.15/x
  3. Step 3: Cross multiply
    2,534.85x = 3,802.25 × 686.15
  4. Step 4: Simplify right side
    2,534.85x = 2,608,902.62
  5. Step 5: Solve for x
    x = 2,608,902.62/2,534.85
  6. Step 6: Final answer
    x = 1,029.22

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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.