Home / 1,382.16-2,068.48-861.92

Finding the Fourth Proportional to 1,382.16, 2,068.48 and 861.92

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Solution

The fourth proportional to 1,382.16, 2,068.48 and 861.92 is: 1,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.16 : 2,068.48 = 861.92 : x
  2. Step 2: Convert to fraction form
    1,382.16/2,068.48 = 861.92/x
  3. Step 3: Cross multiply
    1,382.16x = 2,068.48 × 861.92
  4. Step 4: Simplify right side
    1,382.16x = 1,782,864.28
  5. Step 5: Solve for x
    x = 1,782,864.28/1,382.16
  6. Step 6: Final answer
    x = 1,289.91

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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.