Home / 2,056.24-3,084.28-517.20

Finding the Fourth Proportional to 2,056.24, 3,084.28 and 517.20

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Solution

The fourth proportional to 2,056.24, 3,084.28 and 517.20 is: 775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.24 : 3,084.28 = 517.20 : x
  2. Step 2: Convert to fraction form
    2,056.24/3,084.28 = 517.20/x
  3. Step 3: Cross multiply
    2,056.24x = 3,084.28 × 517.20
  4. Step 4: Simplify right side
    2,056.24x = 1,595,189.62
  5. Step 5: Solve for x
    x = 1,595,189.62/2,056.24
  6. Step 6: Final answer
    x = 775.78

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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.