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Finding the Fourth Proportional to 6,878.36, 10,314.38 and 3,759.42

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Solution

The fourth proportional to 6,878.36, 10,314.38 and 3,759.42 is: 5,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.36 : 10,314.38 = 3,759.42 : x
  2. Step 2: Convert to fraction form
    6,878.36/10,314.38 = 3,759.42/x
  3. Step 3: Cross multiply
    6,878.36x = 10,314.38 × 3,759.42
  4. Step 4: Simplify right side
    6,878.36x = 38,776,086.46
  5. Step 5: Solve for x
    x = 38,776,086.46/6,878.36
  6. Step 6: Final answer
    x = 5,637.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.