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Finding the Fourth Proportional to 2,054.68, 3,082.04 and 515.68

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Solution

The fourth proportional to 2,054.68, 3,082.04 and 515.68 is: 773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.68 : 3,082.04 = 515.68 : x
  2. Step 2: Convert to fraction form
    2,054.68/3,082.04 = 515.68/x
  3. Step 3: Cross multiply
    2,054.68x = 3,082.04 × 515.68
  4. Step 4: Simplify right side
    2,054.68x = 1,589,346.39
  5. Step 5: Solve for x
    x = 1,589,346.39/2,054.68
  6. Step 6: Final answer
    x = 773.53

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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.