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Finding the Fourth Proportional to 5,199.64, 7,175.46 and 2,841.76

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Solution

The fourth proportional to 5,199.64, 7,175.46 and 2,841.76 is: 3,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.64 : 7,175.46 = 2,841.76 : x
  2. Step 2: Convert to fraction form
    5,199.64/7,175.46 = 2,841.76/x
  3. Step 3: Cross multiply
    5,199.64x = 7,175.46 × 2,841.76
  4. Step 4: Simplify right side
    5,199.64x = 20,390,935.21
  5. Step 5: Solve for x
    x = 20,390,935.21/5,199.64
  6. Step 6: Final answer
    x = 3,921.61

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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.