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Finding the Fourth Proportional to 8,164.92, 11,275.56 and 6,979.08

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Solution

The fourth proportional to 8,164.92, 11,275.56 and 6,979.08 is: 9,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.92 : 11,275.56 = 6,979.08 : x
  2. Step 2: Convert to fraction form
    8,164.92/11,275.56 = 6,979.08/x
  3. Step 3: Cross multiply
    8,164.92x = 11,275.56 × 6,979.08
  4. Step 4: Simplify right side
    8,164.92x = 78,693,035.28
  5. Step 5: Solve for x
    x = 78,693,035.28/8,164.92
  6. Step 6: Final answer
    x = 9,637.94

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Double scale
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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.