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Finding the Fourth Proportional to 7,672.45, 11,507.01 and 2,742.43

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Solution

The fourth proportional to 7,672.45, 11,507.01 and 2,742.43 is: 4,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.45 : 11,507.01 = 2,742.43 : x
  2. Step 2: Convert to fraction form
    7,672.45/11,507.01 = 2,742.43/x
  3. Step 3: Cross multiply
    7,672.45x = 11,507.01 × 2,742.43
  4. Step 4: Simplify right side
    7,672.45x = 31,557,169.43
  5. Step 5: Solve for x
    x = 31,557,169.43/7,672.45
  6. Step 6: Final answer
    x = 4,113.05

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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.