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Finding the Fourth Proportional to 3,918.93, 5,878.11 and 1,839.41

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Solution

The fourth proportional to 3,918.93, 5,878.11 and 1,839.41 is: 2,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.93 : 5,878.11 = 1,839.41 : x
  2. Step 2: Convert to fraction form
    3,918.93/5,878.11 = 1,839.41/x
  3. Step 3: Cross multiply
    3,918.93x = 5,878.11 × 1,839.41
  4. Step 4: Simplify right side
    3,918.93x = 10,812,254.32
  5. Step 5: Solve for x
    x = 10,812,254.32/3,918.93
  6. Step 6: Final answer
    x = 2,758.98

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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.