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Finding the Fourth Proportional to 11,278.80, 15,571 and 6,803.68

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Solution

The fourth proportional to 11,278.80, 15,571 and 6,803.68 is: 9,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.80 : 15,571 = 6,803.68 : x
  2. Step 2: Convert to fraction form
    11,278.80/15,571 = 6,803.68/x
  3. Step 3: Cross multiply
    11,278.80x = 15,571 × 6,803.68
  4. Step 4: Simplify right side
    11,278.80x = 105,940,101.28
  5. Step 5: Solve for x
    x = 105,940,101.28/11,278.80
  6. Step 6: Final answer
    x = 9,392.85

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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.