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Finding the Fourth Proportional to 7,914.98, 11,871.12 and 2,649.62

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Solution

The fourth proportional to 7,914.98, 11,871.12 and 2,649.62 is: 3,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.98 : 11,871.12 = 2,649.62 : x
  2. Step 2: Convert to fraction form
    7,914.98/11,871.12 = 2,649.62/x
  3. Step 3: Cross multiply
    7,914.98x = 11,871.12 × 2,649.62
  4. Step 4: Simplify right side
    7,914.98x = 31,453,956.97
  5. Step 5: Solve for x
    x = 31,453,956.97/7,914.98
  6. Step 6: Final answer
    x = 3,973.98

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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.