Home / 1,588.12-2,382.12-942.97

Finding the Fourth Proportional to 1,588.12, 2,382.12 and 942.97

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Solution

The fourth proportional to 1,588.12, 2,382.12 and 942.97 is: 1,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.12 : 2,382.12 = 942.97 : x
  2. Step 2: Convert to fraction form
    1,588.12/2,382.12 = 942.97/x
  3. Step 3: Cross multiply
    1,588.12x = 2,382.12 × 942.97
  4. Step 4: Simplify right side
    1,588.12x = 2,246,267.70
  5. Step 5: Solve for x
    x = 2,246,267.70/1,588.12
  6. Step 6: Final answer
    x = 1,414.42

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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.