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Finding the Fourth Proportional to 2,651.75, 3,659.43 and 1,657.61

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Solution

The fourth proportional to 2,651.75, 3,659.43 and 1,657.61 is: 2,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.75 : 3,659.43 = 1,657.61 : x
  2. Step 2: Convert to fraction form
    2,651.75/3,659.43 = 1,657.61/x
  3. Step 3: Cross multiply
    2,651.75x = 3,659.43 × 1,657.61
  4. Step 4: Simplify right side
    2,651.75x = 6,065,923.13
  5. Step 5: Solve for x
    x = 6,065,923.13/2,651.75
  6. Step 6: Final answer
    x = 2,287.52

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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.