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Finding the Fourth Proportional to 3,800.69, 5,240.81 and 2,471.93

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Solution

The fourth proportional to 3,800.69, 5,240.81 and 2,471.93 is: 3,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.69 : 5,240.81 = 2,471.93 : x
  2. Step 2: Convert to fraction form
    3,800.69/5,240.81 = 2,471.93/x
  3. Step 3: Cross multiply
    3,800.69x = 5,240.81 × 2,471.93
  4. Step 4: Simplify right side
    3,800.69x = 12,954,915.46
  5. Step 5: Solve for x
    x = 12,954,915.46/3,800.69
  6. Step 6: Final answer
    x = 3,408.57

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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.