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Finding the Fourth Proportional to 12,164.78, 16,787.66 and 7,132.86

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Solution

The fourth proportional to 12,164.78, 16,787.66 and 7,132.86 is: 9,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.78 : 16,787.66 = 7,132.86 : x
  2. Step 2: Convert to fraction form
    12,164.78/16,787.66 = 7,132.86/x
  3. Step 3: Cross multiply
    12,164.78x = 16,787.66 × 7,132.86
  4. Step 4: Simplify right side
    12,164.78x = 119,743,992.84
  5. Step 5: Solve for x
    x = 119,743,992.84/12,164.78
  6. Step 6: Final answer
    x = 9,843.50

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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.