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Finding the Fourth Proportional to 11,275, 16,910.78 and 6,597.16

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Solution

The fourth proportional to 11,275, 16,910.78 and 6,597.16 is: 9,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275 : 16,910.78 = 6,597.16 : x
  2. Step 2: Convert to fraction form
    11,275/16,910.78 = 6,597.16/x
  3. Step 3: Cross multiply
    11,275x = 16,910.78 × 6,597.16
  4. Step 4: Simplify right side
    11,275x = 111,563,121.38
  5. Step 5: Solve for x
    x = 111,563,121.38/11,275
  6. Step 6: Final answer
    x = 9,894.73

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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.