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Finding the Fourth Proportional to 3,705.71, 5,557.98 and 1,108.04

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Solution

The fourth proportional to 3,705.71, 5,557.98 and 1,108.04 is: 1,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.71 : 5,557.98 = 1,108.04 : x
  2. Step 2: Convert to fraction form
    3,705.71/5,557.98 = 1,108.04/x
  3. Step 3: Cross multiply
    3,705.71x = 5,557.98 × 1,108.04
  4. Step 4: Simplify right side
    3,705.71x = 6,158,464.16
  5. Step 5: Solve for x
    x = 6,158,464.16/3,705.71
  6. Step 6: Final answer
    x = 1,661.89

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