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Finding the Fourth Proportional to 7,987.84, 11,988.90 and 7,958.07

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Solution

The fourth proportional to 7,987.84, 11,988.90 and 7,958.07 is: 11,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.84 : 11,988.90 = 7,958.07 : x
  2. Step 2: Convert to fraction form
    7,987.84/11,988.90 = 7,958.07/x
  3. Step 3: Cross multiply
    7,987.84x = 11,988.90 × 7,958.07
  4. Step 4: Simplify right side
    7,987.84x = 95,408,505.42
  5. Step 5: Solve for x
    x = 95,408,505.42/7,987.84
  6. Step 6: Final answer
    x = 11,944.22

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1.5x scale

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.