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Finding the Fourth Proportional to 2,652.69, 3,661.92 and 1,658.61

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Solution

The fourth proportional to 2,652.69, 3,661.92 and 1,658.61 is: 2,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.69 : 3,661.92 = 1,658.61 : x
  2. Step 2: Convert to fraction form
    2,652.69/3,661.92 = 1,658.61/x
  3. Step 3: Cross multiply
    2,652.69x = 3,661.92 × 1,658.61
  4. Step 4: Simplify right side
    2,652.69x = 6,073,697.13
  5. Step 5: Solve for x
    x = 6,073,697.13/2,652.69
  6. Step 6: Final answer
    x = 2,289.64

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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.