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Finding the Fourth Proportional to 7,759.64, 10,707.95 and 4,222.85

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Solution

The fourth proportional to 7,759.64, 10,707.95 and 4,222.85 is: 5,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.64 : 10,707.95 = 4,222.85 : x
  2. Step 2: Convert to fraction form
    7,759.64/10,707.95 = 4,222.85/x
  3. Step 3: Cross multiply
    7,759.64x = 10,707.95 × 4,222.85
  4. Step 4: Simplify right side
    7,759.64x = 45,218,023.67
  5. Step 5: Solve for x
    x = 45,218,023.67/7,759.64
  6. Step 6: Final answer
    x = 5,827.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.