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Finding the Fourth Proportional to 3,753.68, 5,178 and 2,181.60

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Solution

The fourth proportional to 3,753.68, 5,178 and 2,181.60 is: 3,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.68 : 5,178 = 2,181.60 : x
  2. Step 2: Convert to fraction form
    3,753.68/5,178 = 2,181.60/x
  3. Step 3: Cross multiply
    3,753.68x = 5,178 × 2,181.60
  4. Step 4: Simplify right side
    3,753.68x = 11,296,324.80
  5. Step 5: Solve for x
    x = 11,296,324.80/3,753.68
  6. Step 6: Final answer
    x = 3,009.40

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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.