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Finding the Fourth Proportional to 3,447, 5,161.05 and 2,408.04

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Solution

The fourth proportional to 3,447, 5,161.05 and 2,408.04 is: 3,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 5,161.05 = 2,408.04 : x
  2. Step 2: Convert to fraction form
    3,447/5,161.05 = 2,408.04/x
  3. Step 3: Cross multiply
    3,447x = 5,161.05 × 2,408.04
  4. Step 4: Simplify right side
    3,447x = 12,428,014.84
  5. Step 5: Solve for x
    x = 12,428,014.84/3,447
  6. Step 6: Final answer
    x = 3,605.46

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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.