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Finding the Fourth Proportional to 3,589.84, 5,385 and 1,249.72

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Solution

The fourth proportional to 3,589.84, 5,385 and 1,249.72 is: 1,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.84 : 5,385 = 1,249.72 : x
  2. Step 2: Convert to fraction form
    3,589.84/5,385 = 1,249.72/x
  3. Step 3: Cross multiply
    3,589.84x = 5,385 × 1,249.72
  4. Step 4: Simplify right side
    3,589.84x = 6,729,742.20
  5. Step 5: Solve for x
    x = 6,729,742.20/3,589.84
  6. Step 6: Final answer
    x = 1,874.66

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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.