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Finding the Fourth Proportional to 7,191.68, 10,780.72 and 3,293.76

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Solution

The fourth proportional to 7,191.68, 10,780.72 and 3,293.76 is: 4,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.68 : 10,780.72 = 3,293.76 : x
  2. Step 2: Convert to fraction form
    7,191.68/10,780.72 = 3,293.76/x
  3. Step 3: Cross multiply
    7,191.68x = 10,780.72 × 3,293.76
  4. Step 4: Simplify right side
    7,191.68x = 35,509,104.31
  5. Step 5: Solve for x
    x = 35,509,104.31/7,191.68
  6. Step 6: Final answer
    x = 4,937.53

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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.