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Finding the Fourth Proportional to 2,408.74, 3,612.80 and 1,021.82

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Solution

The fourth proportional to 2,408.74, 3,612.80 and 1,021.82 is: 1,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.74 : 3,612.80 = 1,021.82 : x
  2. Step 2: Convert to fraction form
    2,408.74/3,612.80 = 1,021.82/x
  3. Step 3: Cross multiply
    2,408.74x = 3,612.80 × 1,021.82
  4. Step 4: Simplify right side
    2,408.74x = 3,691,615.79
  5. Step 5: Solve for x
    x = 3,691,615.79/2,408.74
  6. Step 6: Final answer
    x = 1,532.59

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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.