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Finding the Fourth Proportional to 2,803.52, 4,207.16 and 979.52

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Solution

The fourth proportional to 2,803.52, 4,207.16 and 979.52 is: 1,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.52 : 4,207.16 = 979.52 : x
  2. Step 2: Convert to fraction form
    2,803.52/4,207.16 = 979.52/x
  3. Step 3: Cross multiply
    2,803.52x = 4,207.16 × 979.52
  4. Step 4: Simplify right side
    2,803.52x = 4,120,997.36
  5. Step 5: Solve for x
    x = 4,120,997.36/2,803.52
  6. Step 6: Final answer
    x = 1,469.94

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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.