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Finding the Fourth Proportional to 7,992, 11,987.56 and 3,061.26

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Solution

The fourth proportional to 7,992, 11,987.56 and 3,061.26 is: 4,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992 : 11,987.56 = 3,061.26 : x
  2. Step 2: Convert to fraction form
    7,992/11,987.56 = 3,061.26/x
  3. Step 3: Cross multiply
    7,992x = 11,987.56 × 3,061.26
  4. Step 4: Simplify right side
    7,992x = 36,697,037.93
  5. Step 5: Solve for x
    x = 36,697,037.93/7,992
  6. Step 6: Final answer
    x = 4,591.72

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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.