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Finding the Fourth Proportional to 7,771.65, 11,659.29 and 2,224.83

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Solution

The fourth proportional to 7,771.65, 11,659.29 and 2,224.83 is: 3,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.65 : 11,659.29 = 2,224.83 : x
  2. Step 2: Convert to fraction form
    7,771.65/11,659.29 = 2,224.83/x
  3. Step 3: Cross multiply
    7,771.65x = 11,659.29 × 2,224.83
  4. Step 4: Simplify right side
    7,771.65x = 25,939,938.17
  5. Step 5: Solve for x
    x = 25,939,938.17/7,771.65
  6. Step 6: Final answer
    x = 3,337.76

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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.