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Finding the Fourth Proportional to 2,262, 3,389.76 and 1,286.80

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Solution

The fourth proportional to 2,262, 3,389.76 and 1,286.80 is: 1,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262 : 3,389.76 = 1,286.80 : x
  2. Step 2: Convert to fraction form
    2,262/3,389.76 = 1,286.80/x
  3. Step 3: Cross multiply
    2,262x = 3,389.76 × 1,286.80
  4. Step 4: Simplify right side
    2,262x = 4,361,943.17
  5. Step 5: Solve for x
    x = 4,361,943.17/2,262
  6. Step 6: Final answer
    x = 1,928.36

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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.