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Finding the Fourth Proportional to 3,177.78, 4,766.94 and 869.28

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Solution

The fourth proportional to 3,177.78, 4,766.94 and 869.28 is: 1,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.78 : 4,766.94 = 869.28 : x
  2. Step 2: Convert to fraction form
    3,177.78/4,766.94 = 869.28/x
  3. Step 3: Cross multiply
    3,177.78x = 4,766.94 × 869.28
  4. Step 4: Simplify right side
    3,177.78x = 4,143,805.60
  5. Step 5: Solve for x
    x = 4,143,805.60/3,177.78
  6. Step 6: Final answer
    x = 1,303.99

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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.