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Finding the Fourth Proportional to 2,276, 3,414.49 and 1,289.28

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Solution

The fourth proportional to 2,276, 3,414.49 and 1,289.28 is: 1,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276 : 3,414.49 = 1,289.28 : x
  2. Step 2: Convert to fraction form
    2,276/3,414.49 = 1,289.28/x
  3. Step 3: Cross multiply
    2,276x = 3,414.49 × 1,289.28
  4. Step 4: Simplify right side
    2,276x = 4,402,233.67
  5. Step 5: Solve for x
    x = 4,402,233.67/2,276
  6. Step 6: Final answer
    x = 1,934.20

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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.