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Finding the Fourth Proportional to 3,099.69, 4,278.11 and 1,773.81

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Solution

The fourth proportional to 3,099.69, 4,278.11 and 1,773.81 is: 2,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.69 : 4,278.11 = 1,773.81 : x
  2. Step 2: Convert to fraction form
    3,099.69/4,278.11 = 1,773.81/x
  3. Step 3: Cross multiply
    3,099.69x = 4,278.11 × 1,773.81
  4. Step 4: Simplify right side
    3,099.69x = 7,588,545.43
  5. Step 5: Solve for x
    x = 7,588,545.43/3,099.69
  6. Step 6: Final answer
    x = 2,448.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.