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Finding the Fourth Proportional to 7,748, 11,622 and 2,276

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Solution

The fourth proportional to 7,748, 11,622 and 2,276 is: 3,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 11,622 = 2,276 : x
  2. Step 2: Convert to fraction form
    7,748/11,622 = 2,276/x
  3. Step 3: Cross multiply
    7,748x = 11,622 × 2,276
  4. Step 4: Simplify right side
    7,748x = 26,451,672
  5. Step 5: Solve for x
    x = 26,451,672/7,748
  6. Step 6: Final answer
    x = 3,414

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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.