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Finding the Fourth Proportional to 2,572.88, 3,861.12 and 1,599.68

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Solution

The fourth proportional to 2,572.88, 3,861.12 and 1,599.68 is: 2,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.88 : 3,861.12 = 1,599.68 : x
  2. Step 2: Convert to fraction form
    2,572.88/3,861.12 = 1,599.68/x
  3. Step 3: Cross multiply
    2,572.88x = 3,861.12 × 1,599.68
  4. Step 4: Simplify right side
    2,572.88x = 6,176,556.44
  5. Step 5: Solve for x
    x = 6,176,556.44/2,572.88
  6. Step 6: Final answer
    x = 2,400.64

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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.