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Finding the Fourth Proportional to 7,987.76, 11,978.57 and 2,363.88

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Solution

The fourth proportional to 7,987.76, 11,978.57 and 2,363.88 is: 3,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.76 : 11,978.57 = 2,363.88 : x
  2. Step 2: Convert to fraction form
    7,987.76/11,978.57 = 2,363.88/x
  3. Step 3: Cross multiply
    7,987.76x = 11,978.57 × 2,363.88
  4. Step 4: Simplify right side
    7,987.76x = 28,315,919.39
  5. Step 5: Solve for x
    x = 28,315,919.39/7,987.76
  6. Step 6: Final answer
    x = 3,544.91

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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.