Home / 3,102.24-4,650-2,177.76

Finding the Fourth Proportional to 3,102.24, 4,650 and 2,177.76

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Solution

The fourth proportional to 3,102.24, 4,650 and 2,177.76 is: 3,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.24 : 4,650 = 2,177.76 : x
  2. Step 2: Convert to fraction form
    3,102.24/4,650 = 2,177.76/x
  3. Step 3: Cross multiply
    3,102.24x = 4,650 × 2,177.76
  4. Step 4: Simplify right side
    3,102.24x = 10,126,584.00
  5. Step 5: Solve for x
    x = 10,126,584.00/3,102.24
  6. Step 6: Final answer
    x = 3,264.28

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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.