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Finding the Fourth Proportional to 7,983.14, 10,992.94 and 7,806.12

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Solution

The fourth proportional to 7,983.14, 10,992.94 and 7,806.12 is: 10,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.14 : 10,992.94 = 7,806.12 : x
  2. Step 2: Convert to fraction form
    7,983.14/10,992.94 = 7,806.12/x
  3. Step 3: Cross multiply
    7,983.14x = 10,992.94 × 7,806.12
  4. Step 4: Simplify right side
    7,983.14x = 85,812,208.79
  5. Step 5: Solve for x
    x = 85,812,208.79/7,983.14
  6. Step 6: Final answer
    x = 10,749.18

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Half scale
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Double scale
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Similar ratio
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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.