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Finding the Fourth Proportional to 7,518, 11,278.67 and 2,252.80

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Solution

The fourth proportional to 7,518, 11,278.67 and 2,252.80 is: 3,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518 : 11,278.67 = 2,252.80 : x
  2. Step 2: Convert to fraction form
    7,518/11,278.67 = 2,252.80/x
  3. Step 3: Cross multiply
    7,518x = 11,278.67 × 2,252.80
  4. Step 4: Simplify right side
    7,518x = 25,408,587.78
  5. Step 5: Solve for x
    x = 25,408,587.78/7,518
  6. Step 6: Final answer
    x = 3,379.70

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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.