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Finding the Fourth Proportional to 10,872.91, 14,993.13 and 8,216.11

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Solution

The fourth proportional to 10,872.91, 14,993.13 and 8,216.11 is: 11,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.91 : 14,993.13 = 8,216.11 : x
  2. Step 2: Convert to fraction form
    10,872.91/14,993.13 = 8,216.11/x
  3. Step 3: Cross multiply
    10,872.91x = 14,993.13 × 8,216.11
  4. Step 4: Simplify right side
    10,872.91x = 123,185,205.32
  5. Step 5: Solve for x
    x = 123,185,205.32/10,872.91
  6. Step 6: Final answer
    x = 11,329.55

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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.