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Finding the Fourth Proportional to 3,177.32, 4,765.91 and 868.82

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Solution

The fourth proportional to 3,177.32, 4,765.91 and 868.82 is: 1,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.32 : 4,765.91 = 868.82 : x
  2. Step 2: Convert to fraction form
    3,177.32/4,765.91 = 868.82/x
  3. Step 3: Cross multiply
    3,177.32x = 4,765.91 × 868.82
  4. Step 4: Simplify right side
    3,177.32x = 4,140,689.75
  5. Step 5: Solve for x
    x = 4,140,689.75/3,177.32
  6. Step 6: Final answer
    x = 1,303.20

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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.