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Finding the Fourth Proportional to 7,751.43, 11,628.45 and 3,589.74

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Solution

The fourth proportional to 7,751.43, 11,628.45 and 3,589.74 is: 5,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.43 : 11,628.45 = 3,589.74 : x
  2. Step 2: Convert to fraction form
    7,751.43/11,628.45 = 3,589.74/x
  3. Step 3: Cross multiply
    7,751.43x = 11,628.45 × 3,589.74
  4. Step 4: Simplify right side
    7,751.43x = 41,743,094.15
  5. Step 5: Solve for x
    x = 41,743,094.15/7,751.43
  6. Step 6: Final answer
    x = 5,385.21

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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.