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Finding the Fourth Proportional to 9,979.65, 13,757.16 and 6,394.17

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Solution

The fourth proportional to 9,979.65, 13,757.16 and 6,394.17 is: 8,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.65 : 13,757.16 = 6,394.17 : x
  2. Step 2: Convert to fraction form
    9,979.65/13,757.16 = 6,394.17/x
  3. Step 3: Cross multiply
    9,979.65x = 13,757.16 × 6,394.17
  4. Step 4: Simplify right side
    9,979.65x = 87,965,619.76
  5. Step 5: Solve for x
    x = 87,965,619.76/9,979.65
  6. Step 6: Final answer
    x = 8,814.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.