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Finding the Fourth Proportional to 5,382.66, 8,069.10 and 1,919.10

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Solution

The fourth proportional to 5,382.66, 8,069.10 and 1,919.10 is: 2,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.66 : 8,069.10 = 1,919.10 : x
  2. Step 2: Convert to fraction form
    5,382.66/8,069.10 = 1,919.10/x
  3. Step 3: Cross multiply
    5,382.66x = 8,069.10 × 1,919.10
  4. Step 4: Simplify right side
    5,382.66x = 15,485,409.81
  5. Step 5: Solve for x
    x = 15,485,409.81/5,382.66
  6. Step 6: Final answer
    x = 2,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.