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Finding the Fourth Proportional to 3,881.79, 5,822.96 and 3,424.95

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Solution

The fourth proportional to 3,881.79, 5,822.96 and 3,424.95 is: 5,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.79 : 5,822.96 = 3,424.95 : x
  2. Step 2: Convert to fraction form
    3,881.79/5,822.96 = 3,424.95/x
  3. Step 3: Cross multiply
    3,881.79x = 5,822.96 × 3,424.95
  4. Step 4: Simplify right side
    3,881.79x = 19,943,329.73
  5. Step 5: Solve for x
    x = 19,943,329.73/3,881.79
  6. Step 6: Final answer
    x = 5,137.66

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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.