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Finding the Fourth Proportional to 7,987.68, 11,980.98 and 3,057.84

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Solution

The fourth proportional to 7,987.68, 11,980.98 and 3,057.84 is: 4,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.68 : 11,980.98 = 3,057.84 : x
  2. Step 2: Convert to fraction form
    7,987.68/11,980.98 = 3,057.84/x
  3. Step 3: Cross multiply
    7,987.68x = 11,980.98 × 3,057.84
  4. Step 4: Simplify right side
    7,987.68x = 36,635,919.88
  5. Step 5: Solve for x
    x = 36,635,919.88/7,987.68
  6. Step 6: Final answer
    x = 4,586.55

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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.