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Finding the Fourth Proportional to 5,389.99, 8,082.12 and 1,691.21

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Solution

The fourth proportional to 5,389.99, 8,082.12 and 1,691.21 is: 2,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.99 : 8,082.12 = 1,691.21 : x
  2. Step 2: Convert to fraction form
    5,389.99/8,082.12 = 1,691.21/x
  3. Step 3: Cross multiply
    5,389.99x = 8,082.12 × 1,691.21
  4. Step 4: Simplify right side
    5,389.99x = 13,668,562.17
  5. Step 5: Solve for x
    x = 13,668,562.17/5,389.99
  6. Step 6: Final answer
    x = 2,535.92

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1.5x scale

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.