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Finding the Fourth Proportional to 2,928.85, 4,393.73 and 980.59

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Solution

The fourth proportional to 2,928.85, 4,393.73 and 980.59 is: 1,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.85 : 4,393.73 = 980.59 : x
  2. Step 2: Convert to fraction form
    2,928.85/4,393.73 = 980.59/x
  3. Step 3: Cross multiply
    2,928.85x = 4,393.73 × 980.59
  4. Step 4: Simplify right side
    2,928.85x = 4,308,447.70
  5. Step 5: Solve for x
    x = 4,308,447.70/2,928.85
  6. Step 6: Final answer
    x = 1,471.04

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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.