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Finding the Fourth Proportional to 2,651.60, 3,659.09 and 1,472.75

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Solution

The fourth proportional to 2,651.60, 3,659.09 and 1,472.75 is: 2,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.60 : 3,659.09 = 1,472.75 : x
  2. Step 2: Convert to fraction form
    2,651.60/3,659.09 = 1,472.75/x
  3. Step 3: Cross multiply
    2,651.60x = 3,659.09 × 1,472.75
  4. Step 4: Simplify right side
    2,651.60x = 5,388,912.86
  5. Step 5: Solve for x
    x = 5,388,912.86/2,651.60
  6. Step 6: Final answer
    x = 2,032.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.