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Finding the Fourth Proportional to 2,321.66, 3,203.65 and 1,377.41

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Solution

The fourth proportional to 2,321.66, 3,203.65 and 1,377.41 is: 1,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.66 : 3,203.65 = 1,377.41 : x
  2. Step 2: Convert to fraction form
    2,321.66/3,203.65 = 1,377.41/x
  3. Step 3: Cross multiply
    2,321.66x = 3,203.65 × 1,377.41
  4. Step 4: Simplify right side
    2,321.66x = 4,412,725.25
  5. Step 5: Solve for x
    x = 4,412,725.25/2,321.66
  6. Step 6: Final answer
    x = 1,900.67

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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.