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Finding the Fourth Proportional to 11,133.80, 16,706.16 and 7,867.88

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Solution

The fourth proportional to 11,133.80, 16,706.16 and 7,867.88 is: 11,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.80 : 16,706.16 = 7,867.88 : x
  2. Step 2: Convert to fraction form
    11,133.80/16,706.16 = 7,867.88/x
  3. Step 3: Cross multiply
    11,133.80x = 16,706.16 × 7,867.88
  4. Step 4: Simplify right side
    11,133.80x = 131,442,062.14
  5. Step 5: Solve for x
    x = 131,442,062.14/11,133.80
  6. Step 6: Final answer
    x = 11,805.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.