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Finding the Fourth Proportional to 2,406.52, 3,321 and 1,358.60

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Solution

The fourth proportional to 2,406.52, 3,321 and 1,358.60 is: 1,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.52 : 3,321 = 1,358.60 : x
  2. Step 2: Convert to fraction form
    2,406.52/3,321 = 1,358.60/x
  3. Step 3: Cross multiply
    2,406.52x = 3,321 × 1,358.60
  4. Step 4: Simplify right side
    2,406.52x = 4,511,910.60
  5. Step 5: Solve for x
    x = 4,511,910.60/2,406.52
  6. Step 6: Final answer
    x = 1,874.87

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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.