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Finding the Fourth Proportional to 12,165.15, 16,787.91 and 6,859.97

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Solution

The fourth proportional to 12,165.15, 16,787.91 and 6,859.97 is: 9,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.15 : 16,787.91 = 6,859.97 : x
  2. Step 2: Convert to fraction form
    12,165.15/16,787.91 = 6,859.97/x
  3. Step 3: Cross multiply
    12,165.15x = 16,787.91 × 6,859.97
  4. Step 4: Simplify right side
    12,165.15x = 115,164,610.92
  5. Step 5: Solve for x
    x = 115,164,610.92/12,165.15
  6. Step 6: Final answer
    x = 9,466.76

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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.