Home / 1,082.10-1,491.26-869.16

Finding the Fourth Proportional to 1,082.10, 1,491.26 and 869.16

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Solution

The fourth proportional to 1,082.10, 1,491.26 and 869.16 is: 1,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.10 : 1,491.26 = 869.16 : x
  2. Step 2: Convert to fraction form
    1,082.10/1,491.26 = 869.16/x
  3. Step 3: Cross multiply
    1,082.10x = 1,491.26 × 869.16
  4. Step 4: Simplify right side
    1,082.10x = 1,296,139.20
  5. Step 5: Solve for x
    x = 1,296,139.20/1,082.10
  6. Step 6: Final answer
    x = 1,197.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.