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Finding the Fourth Proportional to 2,651.79, 3,659.49 and 1,472.87

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Solution

The fourth proportional to 2,651.79, 3,659.49 and 1,472.87 is: 2,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.79 : 3,659.49 = 1,472.87 : x
  2. Step 2: Convert to fraction form
    2,651.79/3,659.49 = 1,472.87/x
  3. Step 3: Cross multiply
    2,651.79x = 3,659.49 × 1,472.87
  4. Step 4: Simplify right side
    2,651.79x = 5,389,934.74
  5. Step 5: Solve for x
    x = 5,389,934.74/2,651.79
  6. Step 6: Final answer
    x = 2,032.56

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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.