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Finding the Fourth Proportional to 3,891.62, 5,368.70 and 2,399.00

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Solution

The fourth proportional to 3,891.62, 5,368.70 and 2,399.00 is: 3,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.62 : 5,368.70 = 2,399.00 : x
  2. Step 2: Convert to fraction form
    3,891.62/5,368.70 = 2,399.00/x
  3. Step 3: Cross multiply
    3,891.62x = 5,368.70 × 2,399.00
  4. Step 4: Simplify right side
    3,891.62x = 12,879,490.45
  5. Step 5: Solve for x
    x = 12,879,490.45/3,891.62
  6. Step 6: Final answer
    x = 3,309.54

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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.