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Finding the Fourth Proportional to 2,589.39, 3,880.81 and 1,599.01

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Solution

The fourth proportional to 2,589.39, 3,880.81 and 1,599.01 is: 2,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.39 : 3,880.81 = 1,599.01 : x
  2. Step 2: Convert to fraction form
    2,589.39/3,880.81 = 1,599.01/x
  3. Step 3: Cross multiply
    2,589.39x = 3,880.81 × 1,599.01
  4. Step 4: Simplify right side
    2,589.39x = 6,205,454.00
  5. Step 5: Solve for x
    x = 6,205,454.00/2,589.39
  6. Step 6: Final answer
    x = 2,396.49

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1.5x scale

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.