Home / 1,820.46-2,730.28-724.53

Finding the Fourth Proportional to 1,820.46, 2,730.28 and 724.53

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Solution

The fourth proportional to 1,820.46, 2,730.28 and 724.53 is: 1,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.46 : 2,730.28 = 724.53 : x
  2. Step 2: Convert to fraction form
    1,820.46/2,730.28 = 724.53/x
  3. Step 3: Cross multiply
    1,820.46x = 2,730.28 × 724.53
  4. Step 4: Simplify right side
    1,820.46x = 1,978,169.77
  5. Step 5: Solve for x
    x = 1,978,169.77/1,820.46
  6. Step 6: Final answer
    x = 1,086.63

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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.