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Finding the Fourth Proportional to 3,870.68, 5,338 and 2,878.44

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Solution

The fourth proportional to 3,870.68, 5,338 and 2,878.44 is: 3,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.68 : 5,338 = 2,878.44 : x
  2. Step 2: Convert to fraction form
    3,870.68/5,338 = 2,878.44/x
  3. Step 3: Cross multiply
    3,870.68x = 5,338 × 2,878.44
  4. Step 4: Simplify right side
    3,870.68x = 15,365,112.72
  5. Step 5: Solve for x
    x = 15,365,112.72/3,870.68
  6. Step 6: Final answer
    x = 3,969.62

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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.