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Finding the Fourth Proportional to 7,914.69, 11,872.84 and 2,988.47

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Solution

The fourth proportional to 7,914.69, 11,872.84 and 2,988.47 is: 4,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.69 : 11,872.84 = 2,988.47 : x
  2. Step 2: Convert to fraction form
    7,914.69/11,872.84 = 2,988.47/x
  3. Step 3: Cross multiply
    7,914.69x = 11,872.84 × 2,988.47
  4. Step 4: Simplify right side
    7,914.69x = 35,481,626.15
  5. Step 5: Solve for x
    x = 35,481,626.15/7,914.69
  6. Step 6: Final answer
    x = 4,483.01

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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.