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Finding the Fourth Proportional to 3,589.59, 5,384.39 and 1,643.97

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Solution

The fourth proportional to 3,589.59, 5,384.39 and 1,643.97 is: 2,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.59 : 5,384.39 = 1,643.97 : x
  2. Step 2: Convert to fraction form
    3,589.59/5,384.39 = 1,643.97/x
  3. Step 3: Cross multiply
    3,589.59x = 5,384.39 × 1,643.97
  4. Step 4: Simplify right side
    3,589.59x = 8,851,775.63
  5. Step 5: Solve for x
    x = 8,851,775.63/3,589.59
  6. Step 6: Final answer
    x = 2,465.96

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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.