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Finding the Fourth Proportional to 2,143.65, 3,220.87 and 1,364

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Solution

The fourth proportional to 2,143.65, 3,220.87 and 1,364 is: 2,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.65 : 3,220.87 = 1,364 : x
  2. Step 2: Convert to fraction form
    2,143.65/3,220.87 = 1,364/x
  3. Step 3: Cross multiply
    2,143.65x = 3,220.87 × 1,364
  4. Step 4: Simplify right side
    2,143.65x = 4,393,266.68
  5. Step 5: Solve for x
    x = 4,393,266.68/2,143.65
  6. Step 6: Final answer
    x = 2,049.43

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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.