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Finding the Fourth Proportional to 2,979.28, 4,469.64 and 899.16

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Solution

The fourth proportional to 2,979.28, 4,469.64 and 899.16 is: 1,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.28 : 4,469.64 = 899.16 : x
  2. Step 2: Convert to fraction form
    2,979.28/4,469.64 = 899.16/x
  3. Step 3: Cross multiply
    2,979.28x = 4,469.64 × 899.16
  4. Step 4: Simplify right side
    2,979.28x = 4,018,906.57
  5. Step 5: Solve for x
    x = 4,018,906.57/2,979.28
  6. Step 6: Final answer
    x = 1,348.95

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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.