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Finding the Fourth Proportional to 9,991.68, 14,979.36 and 6,864

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Solution

The fourth proportional to 9,991.68, 14,979.36 and 6,864 is: 10,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.68 : 14,979.36 = 6,864 : x
  2. Step 2: Convert to fraction form
    9,991.68/14,979.36 = 6,864/x
  3. Step 3: Cross multiply
    9,991.68x = 14,979.36 × 6,864
  4. Step 4: Simplify right side
    9,991.68x = 102,818,327.04
  5. Step 5: Solve for x
    x = 102,818,327.04/9,991.68
  6. Step 6: Final answer
    x = 10,290.39

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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.