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Finding the Fourth Proportional to 2,381.44, 3,574.40 and 1,228

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Solution

The fourth proportional to 2,381.44, 3,574.40 and 1,228 is: 1,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.44 : 3,574.40 = 1,228 : x
  2. Step 2: Convert to fraction form
    2,381.44/3,574.40 = 1,228/x
  3. Step 3: Cross multiply
    2,381.44x = 3,574.40 × 1,228
  4. Step 4: Simplify right side
    2,381.44x = 4,389,363.20
  5. Step 5: Solve for x
    x = 4,389,363.20/2,381.44
  6. Step 6: Final answer
    x = 1,843.16

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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.