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Finding the Fourth Proportional to 2,661.56, 3,989.43 and 1,102.58

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Solution

The fourth proportional to 2,661.56, 3,989.43 and 1,102.58 is: 1,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.56 : 3,989.43 = 1,102.58 : x
  2. Step 2: Convert to fraction form
    2,661.56/3,989.43 = 1,102.58/x
  3. Step 3: Cross multiply
    2,661.56x = 3,989.43 × 1,102.58
  4. Step 4: Simplify right side
    2,661.56x = 4,398,665.73
  5. Step 5: Solve for x
    x = 4,398,665.73/2,661.56
  6. Step 6: Final answer
    x = 1,652.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.