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Finding the Fourth Proportional to 2,274, 3,411.80 and 1,120.56

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Solution

The fourth proportional to 2,274, 3,411.80 and 1,120.56 is: 1,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 3,411.80 = 1,120.56 : x
  2. Step 2: Convert to fraction form
    2,274/3,411.80 = 1,120.56/x
  3. Step 3: Cross multiply
    2,274x = 3,411.80 × 1,120.56
  4. Step 4: Simplify right side
    2,274x = 3,823,126.61
  5. Step 5: Solve for x
    x = 3,823,126.61/2,274
  6. Step 6: Final answer
    x = 1,681.23

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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.