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Finding the Fourth Proportional to 8,212.78, 11,346.51 and 7,808.19

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Solution

The fourth proportional to 8,212.78, 11,346.51 and 7,808.19 is: 10,787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.78 : 11,346.51 = 7,808.19 : x
  2. Step 2: Convert to fraction form
    8,212.78/11,346.51 = 7,808.19/x
  3. Step 3: Cross multiply
    8,212.78x = 11,346.51 × 7,808.19
  4. Step 4: Simplify right side
    8,212.78x = 88,595,649.18
  5. Step 5: Solve for x
    x = 88,595,649.18/8,212.78
  6. Step 6: Final answer
    x = 10,787.53

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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.