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Finding the Fourth Proportional to 8,213.78, 11,347.89 and 7,809.19

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Solution

The fourth proportional to 8,213.78, 11,347.89 and 7,809.19 is: 10,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.78 : 11,347.89 = 7,809.19 : x
  2. Step 2: Convert to fraction form
    8,213.78/11,347.89 = 7,809.19/x
  3. Step 3: Cross multiply
    8,213.78x = 11,347.89 × 7,809.19
  4. Step 4: Simplify right side
    8,213.78x = 88,617,829.11
  5. Step 5: Solve for x
    x = 88,617,829.11/8,213.78
  6. Step 6: Final answer
    x = 10,788.92

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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.