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Finding the Fourth Proportional to 7,591.68, 11,391.36 and 2,974.72

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Solution

The fourth proportional to 7,591.68, 11,391.36 and 2,974.72 is: 4,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.68 : 11,391.36 = 2,974.72 : x
  2. Step 2: Convert to fraction form
    7,591.68/11,391.36 = 2,974.72/x
  3. Step 3: Cross multiply
    7,591.68x = 11,391.36 × 2,974.72
  4. Step 4: Simplify right side
    7,591.68x = 33,886,106.42
  5. Step 5: Solve for x
    x = 33,886,106.42/7,591.68
  6. Step 6: Final answer
    x = 4,463.58

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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.