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Finding the Fourth Proportional to 7,674.50, 10,591.38 and 4,690.92

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Solution

The fourth proportional to 7,674.50, 10,591.38 and 4,690.92 is: 6,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.50 : 10,591.38 = 4,690.92 : x
  2. Step 2: Convert to fraction form
    7,674.50/10,591.38 = 4,690.92/x
  3. Step 3: Cross multiply
    7,674.50x = 10,591.38 × 4,690.92
  4. Step 4: Simplify right side
    7,674.50x = 49,683,316.27
  5. Step 5: Solve for x
    x = 49,683,316.27/7,674.50
  6. Step 6: Final answer
    x = 6,473.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.