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Finding the Fourth Proportional to 7,162, 10,742.52 and 1,967.92

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Solution

The fourth proportional to 7,162, 10,742.52 and 1,967.92 is: 2,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162 : 10,742.52 = 1,967.92 : x
  2. Step 2: Convert to fraction form
    7,162/10,742.52 = 1,967.92/x
  3. Step 3: Cross multiply
    7,162x = 10,742.52 × 1,967.92
  4. Step 4: Simplify right side
    7,162x = 21,140,419.96
  5. Step 5: Solve for x
    x = 21,140,419.96/7,162
  6. Step 6: Final answer
    x = 2,951.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.