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Finding the Fourth Proportional to 3,868.74, 5,807.21 and 2,408.92

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Solution

The fourth proportional to 3,868.74, 5,807.21 and 2,408.92 is: 3,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.74 : 5,807.21 = 2,408.92 : x
  2. Step 2: Convert to fraction form
    3,868.74/5,807.21 = 2,408.92/x
  3. Step 3: Cross multiply
    3,868.74x = 5,807.21 × 2,408.92
  4. Step 4: Simplify right side
    3,868.74x = 13,989,077.75
  5. Step 5: Solve for x
    x = 13,989,077.75/3,868.74
  6. Step 6: Final answer
    x = 3,615.93

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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.