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Finding the Fourth Proportional to 7,616.50, 11,422.68 and 2,685.50

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Solution

The fourth proportional to 7,616.50, 11,422.68 and 2,685.50 is: 4,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.50 : 11,422.68 = 2,685.50 : x
  2. Step 2: Convert to fraction form
    7,616.50/11,422.68 = 2,685.50/x
  3. Step 3: Cross multiply
    7,616.50x = 11,422.68 × 2,685.50
  4. Step 4: Simplify right side
    7,616.50x = 30,675,607.14
  5. Step 5: Solve for x
    x = 30,675,607.14/7,616.50
  6. Step 6: Final answer
    x = 4,027.52

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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.