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Finding the Fourth Proportional to 2,219.50, 3,063.32 and 1,288

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Solution

The fourth proportional to 2,219.50, 3,063.32 and 1,288 is: 1,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.50 : 3,063.32 = 1,288 : x
  2. Step 2: Convert to fraction form
    2,219.50/3,063.32 = 1,288/x
  3. Step 3: Cross multiply
    2,219.50x = 3,063.32 × 1,288
  4. Step 4: Simplify right side
    2,219.50x = 3,945,556.16
  5. Step 5: Solve for x
    x = 3,945,556.16/2,219.50
  6. Step 6: Final answer
    x = 1,777.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.