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Finding the Fourth Proportional to 2,393.21, 3,589.41 and 661.84

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Solution

The fourth proportional to 2,393.21, 3,589.41 and 661.84 is: 992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.21 : 3,589.41 = 661.84 : x
  2. Step 2: Convert to fraction form
    2,393.21/3,589.41 = 661.84/x
  3. Step 3: Cross multiply
    2,393.21x = 3,589.41 × 661.84
  4. Step 4: Simplify right side
    2,393.21x = 2,375,615.11
  5. Step 5: Solve for x
    x = 2,375,615.11/2,393.21
  6. Step 6: Final answer
    x = 992.65

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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.