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Finding the Fourth Proportional to 2,500.78, 3,450.81 and 1,381.72

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Solution

The fourth proportional to 2,500.78, 3,450.81 and 1,381.72 is: 1,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.78 : 3,450.81 = 1,381.72 : x
  2. Step 2: Convert to fraction form
    2,500.78/3,450.81 = 1,381.72/x
  3. Step 3: Cross multiply
    2,500.78x = 3,450.81 × 1,381.72
  4. Step 4: Simplify right side
    2,500.78x = 4,768,053.19
  5. Step 5: Solve for x
    x = 4,768,053.19/2,500.78
  6. Step 6: Final answer
    x = 1,906.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.