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Finding the Fourth Proportional to 5,575.60, 7,694.19 and 3,152.76

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Solution

The fourth proportional to 5,575.60, 7,694.19 and 3,152.76 is: 4,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.60 : 7,694.19 = 3,152.76 : x
  2. Step 2: Convert to fraction form
    5,575.60/7,694.19 = 3,152.76/x
  3. Step 3: Cross multiply
    5,575.60x = 7,694.19 × 3,152.76
  4. Step 4: Simplify right side
    5,575.60x = 24,257,895.99
  5. Step 5: Solve for x
    x = 24,257,895.99/5,575.60
  6. Step 6: Final answer
    x = 4,350.72

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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.