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Finding the Fourth Proportional to 6,624.51, 9,142.05 and 3,791.90

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Solution

The fourth proportional to 6,624.51, 9,142.05 and 3,791.90 is: 5,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.51 : 9,142.05 = 3,791.90 : x
  2. Step 2: Convert to fraction form
    6,624.51/9,142.05 = 3,791.90/x
  3. Step 3: Cross multiply
    6,624.51x = 9,142.05 × 3,791.90
  4. Step 4: Simplify right side
    6,624.51x = 34,665,693.68
  5. Step 5: Solve for x
    x = 34,665,693.68/6,624.51
  6. Step 6: Final answer
    x = 5,232.94

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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.