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Finding the Fourth Proportional to 3,873.05, 5,808.70 and 1,099.66

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Solution

The fourth proportional to 3,873.05, 5,808.70 and 1,099.66 is: 1,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.05 : 5,808.70 = 1,099.66 : x
  2. Step 2: Convert to fraction form
    3,873.05/5,808.70 = 1,099.66/x
  3. Step 3: Cross multiply
    3,873.05x = 5,808.70 × 1,099.66
  4. Step 4: Simplify right side
    3,873.05x = 6,387,577.77
  5. Step 5: Solve for x
    x = 6,387,577.77/3,873.05
  6. Step 6: Final answer
    x = 1,649.24

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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.