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Finding the Fourth Proportional to 3,589.40, 5,383.49 and 992.34

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Solution

The fourth proportional to 3,589.40, 5,383.49 and 992.34 is: 1,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.40 : 5,383.49 = 992.34 : x
  2. Step 2: Convert to fraction form
    3,589.40/5,383.49 = 992.34/x
  3. Step 3: Cross multiply
    3,589.40x = 5,383.49 × 992.34
  4. Step 4: Simplify right side
    3,589.40x = 5,342,252.47
  5. Step 5: Solve for x
    x = 5,342,252.47/3,589.40
  6. Step 6: Final answer
    x = 1,488.34

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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.