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Finding the Fourth Proportional to 3,649, 5,474.31 and 1,340.50

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Solution

The fourth proportional to 3,649, 5,474.31 and 1,340.50 is: 2,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649 : 5,474.31 = 1,340.50 : x
  2. Step 2: Convert to fraction form
    3,649/5,474.31 = 1,340.50/x
  3. Step 3: Cross multiply
    3,649x = 5,474.31 × 1,340.50
  4. Step 4: Simplify right side
    3,649x = 7,338,312.56
  5. Step 5: Solve for x
    x = 7,338,312.56/3,649
  6. Step 6: Final answer
    x = 2,011.05

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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.