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Finding the Fourth Proportional to 7,970.84, 11,949.42 and 2,776.04

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Solution

The fourth proportional to 7,970.84, 11,949.42 and 2,776.04 is: 4,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.84 : 11,949.42 = 2,776.04 : x
  2. Step 2: Convert to fraction form
    7,970.84/11,949.42 = 2,776.04/x
  3. Step 3: Cross multiply
    7,970.84x = 11,949.42 × 2,776.04
  4. Step 4: Simplify right side
    7,970.84x = 33,172,067.90
  5. Step 5: Solve for x
    x = 33,172,067.90/7,970.84
  6. Step 6: Final answer
    x = 4,161.68

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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.