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Finding the Fourth Proportional to 2,928.36, 4,391.64 and 980.12

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Solution

The fourth proportional to 2,928.36, 4,391.64 and 980.12 is: 1,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.36 : 4,391.64 = 980.12 : x
  2. Step 2: Convert to fraction form
    2,928.36/4,391.64 = 980.12/x
  3. Step 3: Cross multiply
    2,928.36x = 4,391.64 × 980.12
  4. Step 4: Simplify right side
    2,928.36x = 4,304,334.20
  5. Step 5: Solve for x
    x = 4,304,334.20/2,928.36
  6. Step 6: Final answer
    x = 1,469.88

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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.