Home / 5,229-7,844.72-1,766.25

Finding the Fourth Proportional to 5,229, 7,844.72 and 1,766.25

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Solution

The fourth proportional to 5,229, 7,844.72 and 1,766.25 is: 2,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 7,844.72 = 1,766.25 : x
  2. Step 2: Convert to fraction form
    5,229/7,844.72 = 1,766.25/x
  3. Step 3: Cross multiply
    5,229x = 7,844.72 × 1,766.25
  4. Step 4: Simplify right side
    5,229x = 13,855,727.87
  5. Step 5: Solve for x
    x = 13,855,727.87/5,229
  6. Step 6: Final answer
    x = 2,649.79

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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.