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Finding the Fourth Proportional to 2,641.64, 3,963.90 and 1,599.08

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Solution

The fourth proportional to 2,641.64, 3,963.90 and 1,599.08 is: 2,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.64 : 3,963.90 = 1,599.08 : x
  2. Step 2: Convert to fraction form
    2,641.64/3,963.90 = 1,599.08/x
  3. Step 3: Cross multiply
    2,641.64x = 3,963.90 × 1,599.08
  4. Step 4: Simplify right side
    2,641.64x = 6,338,593.21
  5. Step 5: Solve for x
    x = 6,338,593.21/2,641.64
  6. Step 6: Final answer
    x = 2,399.49

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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.