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Finding the Fourth Proportional to 2,438.56, 3,649.74 and 1,949.32

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Solution

The fourth proportional to 2,438.56, 3,649.74 and 1,949.32 is: 2,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.56 : 3,649.74 = 1,949.32 : x
  2. Step 2: Convert to fraction form
    2,438.56/3,649.74 = 1,949.32/x
  3. Step 3: Cross multiply
    2,438.56x = 3,649.74 × 1,949.32
  4. Step 4: Simplify right side
    2,438.56x = 7,114,511.18
  5. Step 5: Solve for x
    x = 7,114,511.18/2,438.56
  6. Step 6: Final answer
    x = 2,917.51

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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.