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Finding the Fourth Proportional to 3,705.68, 5,557.56 and 1,108.16

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Solution

The fourth proportional to 3,705.68, 5,557.56 and 1,108.16 is: 1,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.68 : 5,557.56 = 1,108.16 : x
  2. Step 2: Convert to fraction form
    3,705.68/5,557.56 = 1,108.16/x
  3. Step 3: Cross multiply
    3,705.68x = 5,557.56 × 1,108.16
  4. Step 4: Simplify right side
    3,705.68x = 6,158,665.69
  5. Step 5: Solve for x
    x = 6,158,665.69/3,705.68
  6. Step 6: Final answer
    x = 1,661.95

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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.