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Finding the Fourth Proportional to 7,708.40, 11,552.88 and 3,811.76

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Solution

The fourth proportional to 7,708.40, 11,552.88 and 3,811.76 is: 5,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.40 : 11,552.88 = 3,811.76 : x
  2. Step 2: Convert to fraction form
    7,708.40/11,552.88 = 3,811.76/x
  3. Step 3: Cross multiply
    7,708.40x = 11,552.88 × 3,811.76
  4. Step 4: Simplify right side
    7,708.40x = 44,036,805.87
  5. Step 5: Solve for x
    x = 44,036,805.87/7,708.40
  6. Step 6: Final answer
    x = 5,712.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.