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Finding the Fourth Proportional to 12,076.62, 16,660.08 and 8,541.78

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Solution

The fourth proportional to 12,076.62, 16,660.08 and 8,541.78 is: 11,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.62 : 16,660.08 = 8,541.78 : x
  2. Step 2: Convert to fraction form
    12,076.62/16,660.08 = 8,541.78/x
  3. Step 3: Cross multiply
    12,076.62x = 16,660.08 × 8,541.78
  4. Step 4: Simplify right side
    12,076.62x = 142,306,738.14
  5. Step 5: Solve for x
    x = 142,306,738.14/12,076.62
  6. Step 6: Final answer
    x = 11,783.66

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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.