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Finding the Fourth Proportional to 2,815.78, 3,885.65 and 1,620.71

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Solution

The fourth proportional to 2,815.78, 3,885.65 and 1,620.71 is: 2,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.78 : 3,885.65 = 1,620.71 : x
  2. Step 2: Convert to fraction form
    2,815.78/3,885.65 = 1,620.71/x
  3. Step 3: Cross multiply
    2,815.78x = 3,885.65 × 1,620.71
  4. Step 4: Simplify right side
    2,815.78x = 6,297,513.42
  5. Step 5: Solve for x
    x = 6,297,513.42/2,815.78
  6. Step 6: Final answer
    x = 2,236.51

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Why These Related Problems?

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