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Finding the Fourth Proportional to 7,382.84, 10,185.80 and 4,195.82

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Solution

The fourth proportional to 7,382.84, 10,185.80 and 4,195.82 is: 5,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.84 : 10,185.80 = 4,195.82 : x
  2. Step 2: Convert to fraction form
    7,382.84/10,185.80 = 4,195.82/x
  3. Step 3: Cross multiply
    7,382.84x = 10,185.80 × 4,195.82
  4. Step 4: Simplify right side
    7,382.84x = 42,737,711.45
  5. Step 5: Solve for x
    x = 42,737,711.45/7,382.84
  6. Step 6: Final answer
    x = 5,788.79

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