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Finding the Fourth Proportional to 1,898.28, 2,847.96 and 1,412.28

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Solution

The fourth proportional to 1,898.28, 2,847.96 and 1,412.28 is: 2,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.28 : 2,847.96 = 1,412.28 : x
  2. Step 2: Convert to fraction form
    1,898.28/2,847.96 = 1,412.28/x
  3. Step 3: Cross multiply
    1,898.28x = 2,847.96 × 1,412.28
  4. Step 4: Simplify right side
    1,898.28x = 4,022,116.95
  5. Step 5: Solve for x
    x = 4,022,116.95/1,898.28
  6. Step 6: Final answer
    x = 2,118.82

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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.