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Finding the Fourth Proportional to 3,705.67, 5,558.10 and 1,108

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Solution

The fourth proportional to 3,705.67, 5,558.10 and 1,108 is: 1,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.67 : 5,558.10 = 1,108 : x
  2. Step 2: Convert to fraction form
    3,705.67/5,558.10 = 1,108/x
  3. Step 3: Cross multiply
    3,705.67x = 5,558.10 × 1,108
  4. Step 4: Simplify right side
    3,705.67x = 6,158,374.80
  5. Step 5: Solve for x
    x = 6,158,374.80/3,705.67
  6. Step 6: Final answer
    x = 1,661.88

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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.