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Finding the Fourth Proportional to 3,679.60, 5,520.48 and 1,732

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Solution

The fourth proportional to 3,679.60, 5,520.48 and 1,732 is: 2,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.60 : 5,520.48 = 1,732 : x
  2. Step 2: Convert to fraction form
    3,679.60/5,520.48 = 1,732/x
  3. Step 3: Cross multiply
    3,679.60x = 5,520.48 × 1,732
  4. Step 4: Simplify right side
    3,679.60x = 9,561,471.36
  5. Step 5: Solve for x
    x = 9,561,471.36/3,679.60
  6. Step 6: Final answer
    x = 2,598.51

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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.