Home / 1,509.08-2,082.42-845.82

Finding the Fourth Proportional to 1,509.08, 2,082.42 and 845.82

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Solution

The fourth proportional to 1,509.08, 2,082.42 and 845.82 is: 1,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.08 : 2,082.42 = 845.82 : x
  2. Step 2: Convert to fraction form
    1,509.08/2,082.42 = 845.82/x
  3. Step 3: Cross multiply
    1,509.08x = 2,082.42 × 845.82
  4. Step 4: Simplify right side
    1,509.08x = 1,761,352.48
  5. Step 5: Solve for x
    x = 1,761,352.48/1,509.08
  6. Step 6: Final answer
    x = 1,167.17

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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.