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Finding the Fourth Proportional to 3,754.89, 5,181.72 and 2,098.89

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Solution

The fourth proportional to 3,754.89, 5,181.72 and 2,098.89 is: 2,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.89 : 5,181.72 = 2,098.89 : x
  2. Step 2: Convert to fraction form
    3,754.89/5,181.72 = 2,098.89/x
  3. Step 3: Cross multiply
    3,754.89x = 5,181.72 × 2,098.89
  4. Step 4: Simplify right side
    3,754.89x = 10,875,860.29
  5. Step 5: Solve for x
    x = 10,875,860.29/3,754.89
  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.