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Finding the Fourth Proportional to 9,191.78, 12,684.90 and 5,212.14

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Solution

The fourth proportional to 9,191.78, 12,684.90 and 5,212.14 is: 7,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.78 : 12,684.90 = 5,212.14 : x
  2. Step 2: Convert to fraction form
    9,191.78/12,684.90 = 5,212.14/x
  3. Step 3: Cross multiply
    9,191.78x = 12,684.90 × 5,212.14
  4. Step 4: Simplify right side
    9,191.78x = 66,115,474.69
  5. Step 5: Solve for x
    x = 66,115,474.69/9,191.78
  6. Step 6: Final answer
    x = 7,192.89

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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.