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Finding the Fourth Proportional to 7,762.34, 11,645.67 and 2,571.86

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Solution

The fourth proportional to 7,762.34, 11,645.67 and 2,571.86 is: 3,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.34 : 11,645.67 = 2,571.86 : x
  2. Step 2: Convert to fraction form
    7,762.34/11,645.67 = 2,571.86/x
  3. Step 3: Cross multiply
    7,762.34x = 11,645.67 × 2,571.86
  4. Step 4: Simplify right side
    7,762.34x = 29,951,032.85
  5. Step 5: Solve for x
    x = 29,951,032.85/7,762.34
  6. Step 6: Final answer
    x = 3,858.51

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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.