Home / 2,154.18-3,231.28-767.46

Finding the Fourth Proportional to 2,154.18, 3,231.28 and 767.46

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Solution

The fourth proportional to 2,154.18, 3,231.28 and 767.46 is: 1,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.18 : 3,231.28 = 767.46 : x
  2. Step 2: Convert to fraction form
    2,154.18/3,231.28 = 767.46/x
  3. Step 3: Cross multiply
    2,154.18x = 3,231.28 × 767.46
  4. Step 4: Simplify right side
    2,154.18x = 2,479,878.15
  5. Step 5: Solve for x
    x = 2,479,878.15/2,154.18
  6. Step 6: Final answer
    x = 1,151.19

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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.