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Finding the Fourth Proportional to 3,219.06, 4,828.88 and 910.56

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Solution

The fourth proportional to 3,219.06, 4,828.88 and 910.56 is: 1,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.06 : 4,828.88 = 910.56 : x
  2. Step 2: Convert to fraction form
    3,219.06/4,828.88 = 910.56/x
  3. Step 3: Cross multiply
    3,219.06x = 4,828.88 × 910.56
  4. Step 4: Simplify right side
    3,219.06x = 4,396,984.97
  5. Step 5: Solve for x
    x = 4,396,984.97/3,219.06
  6. Step 6: Final answer
    x = 1,365.92

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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.