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Finding the Fourth Proportional to 3,177.60, 4,766.24 and 1,719.60

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Solution

The fourth proportional to 3,177.60, 4,766.24 and 1,719.60 is: 2,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.60 : 4,766.24 = 1,719.60 : x
  2. Step 2: Convert to fraction form
    3,177.60/4,766.24 = 1,719.60/x
  3. Step 3: Cross multiply
    3,177.60x = 4,766.24 × 1,719.60
  4. Step 4: Simplify right side
    3,177.60x = 8,196,026.30
  5. Step 5: Solve for x
    x = 8,196,026.30/3,177.60
  6. Step 6: Final answer
    x = 2,579.31

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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.