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Finding the Fourth Proportional to 8,097.68, 11,172.12 and 7,047.92

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Solution

The fourth proportional to 8,097.68, 11,172.12 and 7,047.92 is: 9,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.68 : 11,172.12 = 7,047.92 : x
  2. Step 2: Convert to fraction form
    8,097.68/11,172.12 = 7,047.92/x
  3. Step 3: Cross multiply
    8,097.68x = 11,172.12 × 7,047.92
  4. Step 4: Simplify right side
    8,097.68x = 78,740,207.99
  5. Step 5: Solve for x
    x = 78,740,207.99/8,097.68
  6. Step 6: Final answer
    x = 9,723.80

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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.