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Finding the Fourth Proportional to 3,881, 5,355.78 and 2,483.84

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Solution

The fourth proportional to 3,881, 5,355.78 and 2,483.84 is: 3,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 5,355.78 = 2,483.84 : x
  2. Step 2: Convert to fraction form
    3,881/5,355.78 = 2,483.84/x
  3. Step 3: Cross multiply
    3,881x = 5,355.78 × 2,483.84
  4. Step 4: Simplify right side
    3,881x = 13,302,900.60
  5. Step 5: Solve for x
    x = 13,302,900.60/3,881
  6. Step 6: Final answer
    x = 3,427.70

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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.