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Finding the Fourth Proportional to 2,767.77, 4,151.70 and 820.53

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Solution

The fourth proportional to 2,767.77, 4,151.70 and 820.53 is: 1,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.77 : 4,151.70 = 820.53 : x
  2. Step 2: Convert to fraction form
    2,767.77/4,151.70 = 820.53/x
  3. Step 3: Cross multiply
    2,767.77x = 4,151.70 × 820.53
  4. Step 4: Simplify right side
    2,767.77x = 3,406,594.40
  5. Step 5: Solve for x
    x = 3,406,594.40/2,767.77
  6. Step 6: Final answer
    x = 1,230.81

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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.