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Finding the Fourth Proportional to 2,803.65, 3,868.38 and 1,684.41

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Solution

The fourth proportional to 2,803.65, 3,868.38 and 1,684.41 is: 2,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.65 : 3,868.38 = 1,684.41 : x
  2. Step 2: Convert to fraction form
    2,803.65/3,868.38 = 1,684.41/x
  3. Step 3: Cross multiply
    2,803.65x = 3,868.38 × 1,684.41
  4. Step 4: Simplify right side
    2,803.65x = 6,515,937.96
  5. Step 5: Solve for x
    x = 6,515,937.96/2,803.65
  6. Step 6: Final answer
    x = 2,324.09

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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.