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Finding the Fourth Proportional to 12,234.18, 16,878.42 and 8,654.40

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Solution

The fourth proportional to 12,234.18, 16,878.42 and 8,654.40 is: 11,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.18 : 16,878.42 = 8,654.40 : x
  2. Step 2: Convert to fraction form
    12,234.18/16,878.42 = 8,654.40/x
  3. Step 3: Cross multiply
    12,234.18x = 16,878.42 × 8,654.40
  4. Step 4: Simplify right side
    12,234.18x = 146,072,598.05
  5. Step 5: Solve for x
    x = 146,072,598.05/12,234.18
  6. Step 6: Final answer
    x = 11,939.71

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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.