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Finding the Fourth Proportional to 3,389.01, 5,082.90 and 1,539.69

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Solution

The fourth proportional to 3,389.01, 5,082.90 and 1,539.69 is: 2,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.01 : 5,082.90 = 1,539.69 : x
  2. Step 2: Convert to fraction form
    3,389.01/5,082.90 = 1,539.69/x
  3. Step 3: Cross multiply
    3,389.01x = 5,082.90 × 1,539.69
  4. Step 4: Simplify right side
    3,389.01x = 7,826,090.30
  5. Step 5: Solve for x
    x = 7,826,090.30/3,389.01
  6. Step 6: Final answer
    x = 2,309.26

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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.