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Finding the Fourth Proportional to 3,943.84, 5,442.42 and 2,175.64

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Solution

The fourth proportional to 3,943.84, 5,442.42 and 2,175.64 is: 3,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.84 : 5,442.42 = 2,175.64 : x
  2. Step 2: Convert to fraction form
    3,943.84/5,442.42 = 2,175.64/x
  3. Step 3: Cross multiply
    3,943.84x = 5,442.42 × 2,175.64
  4. Step 4: Simplify right side
    3,943.84x = 11,840,746.65
  5. Step 5: Solve for x
    x = 11,840,746.65/3,943.84
  6. Step 6: Final answer
    x = 3,002.34

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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.