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Finding the Fourth Proportional to 1,898.78, 2,847.20 and 1,634.90

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Solution

The fourth proportional to 1,898.78, 2,847.20 and 1,634.90 is: 2,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.78 : 2,847.20 = 1,634.90 : x
  2. Step 2: Convert to fraction form
    1,898.78/2,847.20 = 1,634.90/x
  3. Step 3: Cross multiply
    1,898.78x = 2,847.20 × 1,634.90
  4. Step 4: Simplify right side
    1,898.78x = 4,654,864.87
  5. Step 5: Solve for x
    x = 4,654,864.87/1,898.78
  6. Step 6: Final answer
    x = 2,451.51

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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.