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Finding the Fourth Proportional to 2,215, 3,321.54 and 1,118.80

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Solution

The fourth proportional to 2,215, 3,321.54 and 1,118.80 is: 1,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,321.54 = 1,118.80 : x
  2. Step 2: Convert to fraction form
    2,215/3,321.54 = 1,118.80/x
  3. Step 3: Cross multiply
    2,215x = 3,321.54 × 1,118.80
  4. Step 4: Simplify right side
    2,215x = 3,716,138.95
  5. Step 5: Solve for x
    x = 3,716,138.95/2,215
  6. Step 6: Final answer
    x = 1,677.72

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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.