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Finding the Fourth Proportional to 2,651.07, 3,660.79 and 1,658.04

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Solution

The fourth proportional to 2,651.07, 3,660.79 and 1,658.04 is: 2,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.07 : 3,660.79 = 1,658.04 : x
  2. Step 2: Convert to fraction form
    2,651.07/3,660.79 = 1,658.04/x
  3. Step 3: Cross multiply
    2,651.07x = 3,660.79 × 1,658.04
  4. Step 4: Simplify right side
    2,651.07x = 6,069,713.80
  5. Step 5: Solve for x
    x = 6,069,713.80/2,651.07
  6. Step 6: Final answer
    x = 2,289.54

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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.