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Finding the Fourth Proportional to 2,722.76, 4,084.68 and 991.16

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Solution

The fourth proportional to 2,722.76, 4,084.68 and 991.16 is: 1,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.76 : 4,084.68 = 991.16 : x
  2. Step 2: Convert to fraction form
    2,722.76/4,084.68 = 991.16/x
  3. Step 3: Cross multiply
    2,722.76x = 4,084.68 × 991.16
  4. Step 4: Simplify right side
    2,722.76x = 4,048,571.43
  5. Step 5: Solve for x
    x = 4,048,571.43/2,722.76
  6. Step 6: Final answer
    x = 1,486.94

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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.