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Finding the Fourth Proportional to 2,722.72, 4,084 and 991.36

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Solution

The fourth proportional to 2,722.72, 4,084 and 991.36 is: 1,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.72 : 4,084 = 991.36 : x
  2. Step 2: Convert to fraction form
    2,722.72/4,084 = 991.36/x
  3. Step 3: Cross multiply
    2,722.72x = 4,084 × 991.36
  4. Step 4: Simplify right side
    2,722.72x = 4,048,714.24
  5. Step 5: Solve for x
    x = 4,048,714.24/2,722.72
  6. Step 6: Final answer
    x = 1,487.01

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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.