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Finding the Fourth Proportional to 7,639, 11,460.42 and 2,167

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Solution

The fourth proportional to 7,639, 11,460.42 and 2,167 is: 3,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639 : 11,460.42 = 2,167 : x
  2. Step 2: Convert to fraction form
    7,639/11,460.42 = 2,167/x
  3. Step 3: Cross multiply
    7,639x = 11,460.42 × 2,167
  4. Step 4: Simplify right side
    7,639x = 24,834,730.14
  5. Step 5: Solve for x
    x = 24,834,730.14/7,639
  6. Step 6: Final answer
    x = 3,251.04

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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.