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Finding the Fourth Proportional to 3,754.88, 5,181.74 and 2,098.88

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Solution

The fourth proportional to 3,754.88, 5,181.74 and 2,098.88 is: 2,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.88 : 5,181.74 = 2,098.88 : x
  2. Step 2: Convert to fraction form
    3,754.88/5,181.74 = 2,098.88/x
  3. Step 3: Cross multiply
    3,754.88x = 5,181.74 × 2,098.88
  4. Step 4: Simplify right side
    3,754.88x = 10,875,814.05
  5. Step 5: Solve for x
    x = 10,875,814.05/3,754.88
  6. Step 6: Final answer
    x = 2,896.45

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1.5x scale

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.