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Finding the Fourth Proportional to 2,479.37, 3,711.76 and 1,382.22

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Solution

The fourth proportional to 2,479.37, 3,711.76 and 1,382.22 is: 2,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.37 : 3,711.76 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    2,479.37/3,711.76 = 1,382.22/x
  3. Step 3: Cross multiply
    2,479.37x = 3,711.76 × 1,382.22
  4. Step 4: Simplify right side
    2,479.37x = 5,130,465.45
  5. Step 5: Solve for x
    x = 5,130,465.45/2,479.37
  6. Step 6: Final answer
    x = 2,069.27

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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.