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Finding the Fourth Proportional to 5,272.69, 7,913.84 and 2,809.59

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Solution

The fourth proportional to 5,272.69, 7,913.84 and 2,809.59 is: 4,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.69 : 7,913.84 = 2,809.59 : x
  2. Step 2: Convert to fraction form
    5,272.69/7,913.84 = 2,809.59/x
  3. Step 3: Cross multiply
    5,272.69x = 7,913.84 × 2,809.59
  4. Step 4: Simplify right side
    5,272.69x = 22,234,645.73
  5. Step 5: Solve for x
    x = 22,234,645.73/5,272.69
  6. Step 6: Final answer
    x = 4,216.95

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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.