Home / 1,509.11-2,082.56-845.96

Finding the Fourth Proportional to 1,509.11, 2,082.56 and 845.96

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Solution

The fourth proportional to 1,509.11, 2,082.56 and 845.96 is: 1,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.11 : 2,082.56 = 845.96 : x
  2. Step 2: Convert to fraction form
    1,509.11/2,082.56 = 845.96/x
  3. Step 3: Cross multiply
    1,509.11x = 2,082.56 × 845.96
  4. Step 4: Simplify right side
    1,509.11x = 1,761,755.50
  5. Step 5: Solve for x
    x = 1,761,755.50/1,509.11
  6. Step 6: Final answer
    x = 1,167.42

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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.