Home / 7,711.20-11,568-2,781.84

Finding the Fourth Proportional to 7,711.20, 11,568 and 2,781.84

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Solution

The fourth proportional to 7,711.20, 11,568 and 2,781.84 is: 4,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.20 : 11,568 = 2,781.84 : x
  2. Step 2: Convert to fraction form
    7,711.20/11,568 = 2,781.84/x
  3. Step 3: Cross multiply
    7,711.20x = 11,568 × 2,781.84
  4. Step 4: Simplify right side
    7,711.20x = 32,180,325.12
  5. Step 5: Solve for x
    x = 32,180,325.12/7,711.20
  6. Step 6: Final answer
    x = 4,173.19

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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.