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Finding the Fourth Proportional to 7,660.97, 10,571.78 and 4,257.82

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Solution

The fourth proportional to 7,660.97, 10,571.78 and 4,257.82 is: 5,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.97 : 10,571.78 = 4,257.82 : x
  2. Step 2: Convert to fraction form
    7,660.97/10,571.78 = 4,257.82/x
  3. Step 3: Cross multiply
    7,660.97x = 10,571.78 × 4,257.82
  4. Step 4: Simplify right side
    7,660.97x = 45,012,736.32
  5. Step 5: Solve for x
    x = 45,012,736.32/7,660.97
  6. Step 6: Final answer
    x = 5,875.59

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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.