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Finding the Fourth Proportional to 7,755.65, 11,627.79 and 2,487.65

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Solution

The fourth proportional to 7,755.65, 11,627.79 and 2,487.65 is: 3,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.65 : 11,627.79 = 2,487.65 : x
  2. Step 2: Convert to fraction form
    7,755.65/11,627.79 = 2,487.65/x
  3. Step 3: Cross multiply
    7,755.65x = 11,627.79 × 2,487.65
  4. Step 4: Simplify right side
    7,755.65x = 28,925,900.86
  5. Step 5: Solve for x
    x = 28,925,900.86/7,755.65
  6. Step 6: Final answer
    x = 3,729.66

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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.