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Finding the Fourth Proportional to 8,521.60, 12,765.38 and 6,769.56

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Solution

The fourth proportional to 8,521.60, 12,765.38 and 6,769.56 is: 10,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.60 : 12,765.38 = 6,769.56 : x
  2. Step 2: Convert to fraction form
    8,521.60/12,765.38 = 6,769.56/x
  3. Step 3: Cross multiply
    8,521.60x = 12,765.38 × 6,769.56
  4. Step 4: Simplify right side
    8,521.60x = 86,416,005.83
  5. Step 5: Solve for x
    x = 86,416,005.83/8,521.60
  6. Step 6: Final answer
    x = 10,140.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.