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Finding the Fourth Proportional to 7,993.61, 11,993.87 and 4,291.52

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Solution

The fourth proportional to 7,993.61, 11,993.87 and 4,291.52 is: 6,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.61 : 11,993.87 = 4,291.52 : x
  2. Step 2: Convert to fraction form
    7,993.61/11,993.87 = 4,291.52/x
  3. Step 3: Cross multiply
    7,993.61x = 11,993.87 × 4,291.52
  4. Step 4: Simplify right side
    7,993.61x = 51,471,851.56
  5. Step 5: Solve for x
    x = 51,471,851.56/7,993.61
  6. Step 6: Final answer
    x = 6,439.13

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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.