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Finding the Fourth Proportional to 2,391.92, 3,588.09 and 931.18

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Solution

The fourth proportional to 2,391.92, 3,588.09 and 931.18 is: 1,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.92 : 3,588.09 = 931.18 : x
  2. Step 2: Convert to fraction form
    2,391.92/3,588.09 = 931.18/x
  3. Step 3: Cross multiply
    2,391.92x = 3,588.09 × 931.18
  4. Step 4: Simplify right side
    2,391.92x = 3,341,139.71
  5. Step 5: Solve for x
    x = 3,341,139.71/2,391.92
  6. Step 6: Final answer
    x = 1,396.85

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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.