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Finding the Fourth Proportional to 7,778, 11,667 and 2,306

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Solution

The fourth proportional to 7,778, 11,667 and 2,306 is: 3,459

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 11,667 = 2,306 : x
  2. Step 2: Convert to fraction form
    7,778/11,667 = 2,306/x
  3. Step 3: Cross multiply
    7,778x = 11,667 × 2,306
  4. Step 4: Simplify right side
    7,778x = 26,904,102
  5. Step 5: Solve for x
    x = 26,904,102/7,778
  6. Step 6: Final answer
    x = 3,459

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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.