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Finding the Fourth Proportional to 3,099.40, 4,644.41 and 1,865.43

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Solution

The fourth proportional to 3,099.40, 4,644.41 and 1,865.43 is: 2,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.40 : 4,644.41 = 1,865.43 : x
  2. Step 2: Convert to fraction form
    3,099.40/4,644.41 = 1,865.43/x
  3. Step 3: Cross multiply
    3,099.40x = 4,644.41 × 1,865.43
  4. Step 4: Simplify right side
    3,099.40x = 8,663,812.42
  5. Step 5: Solve for x
    x = 8,663,812.42/3,099.40
  6. Step 6: Final answer
    x = 2,795.32

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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.