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Finding the Fourth Proportional to 8,076.65, 12,101.77 and 7,769.10

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Solution

The fourth proportional to 8,076.65, 12,101.77 and 7,769.10 is: 11,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.65 : 12,101.77 = 7,769.10 : x
  2. Step 2: Convert to fraction form
    8,076.65/12,101.77 = 7,769.10/x
  3. Step 3: Cross multiply
    8,076.65x = 12,101.77 × 7,769.10
  4. Step 4: Simplify right side
    8,076.65x = 94,019,861.31
  5. Step 5: Solve for x
    x = 94,019,861.31/8,076.65
  6. Step 6: Final answer
    x = 11,640.95

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1.5x scale

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.