Home / 5,102.76-7,655.36-1,982.85

Finding the Fourth Proportional to 5,102.76, 7,655.36 and 1,982.85

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Solution

The fourth proportional to 5,102.76, 7,655.36 and 1,982.85 is: 2,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.76 : 7,655.36 = 1,982.85 : x
  2. Step 2: Convert to fraction form
    5,102.76/7,655.36 = 1,982.85/x
  3. Step 3: Cross multiply
    5,102.76x = 7,655.36 × 1,982.85
  4. Step 4: Simplify right side
    5,102.76x = 15,179,420.66
  5. Step 5: Solve for x
    x = 15,179,420.66/5,102.76
  6. Step 6: Final answer
    x = 2,974.75

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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.