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Finding the Fourth Proportional to 3,870.05, 5,340.74 and 2,299.05

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Solution

The fourth proportional to 3,870.05, 5,340.74 and 2,299.05 is: 3,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.05 : 5,340.74 = 2,299.05 : x
  2. Step 2: Convert to fraction form
    3,870.05/5,340.74 = 2,299.05/x
  3. Step 3: Cross multiply
    3,870.05x = 5,340.74 × 2,299.05
  4. Step 4: Simplify right side
    3,870.05x = 12,278,616.80
  5. Step 5: Solve for x
    x = 12,278,616.80/3,870.05
  6. Step 6: Final answer
    x = 3,172.73

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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.