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Finding the Fourth Proportional to 5,759.91, 8,640 and 2,249.76

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Solution

The fourth proportional to 5,759.91, 8,640 and 2,249.76 is: 3,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.91 : 8,640 = 2,249.76 : x
  2. Step 2: Convert to fraction form
    5,759.91/8,640 = 2,249.76/x
  3. Step 3: Cross multiply
    5,759.91x = 8,640 × 2,249.76
  4. Step 4: Simplify right side
    5,759.91x = 19,437,926.40
  5. Step 5: Solve for x
    x = 19,437,926.40/5,759.91
  6. Step 6: Final answer
    x = 3,374.69

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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.