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Finding the Fourth Proportional to 7,919.85, 11,878.24 and 2,988.16

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Solution

The fourth proportional to 7,919.85, 11,878.24 and 2,988.16 is: 4,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.85 : 11,878.24 = 2,988.16 : x
  2. Step 2: Convert to fraction form
    7,919.85/11,878.24 = 2,988.16/x
  3. Step 3: Cross multiply
    7,919.85x = 11,878.24 × 2,988.16
  4. Step 4: Simplify right side
    7,919.85x = 35,494,081.64
  5. Step 5: Solve for x
    x = 35,494,081.64/7,919.85
  6. Step 6: Final answer
    x = 4,481.66

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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.