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Finding the Fourth Proportional to 3,161.32, 4,751.42 and 2,617

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Solution

The fourth proportional to 3,161.32, 4,751.42 and 2,617 is: 3,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.32 : 4,751.42 = 2,617 : x
  2. Step 2: Convert to fraction form
    3,161.32/4,751.42 = 2,617/x
  3. Step 3: Cross multiply
    3,161.32x = 4,751.42 × 2,617
  4. Step 4: Simplify right side
    3,161.32x = 12,434,466.14
  5. Step 5: Solve for x
    x = 12,434,466.14/3,161.32
  6. Step 6: Final answer
    x = 3,933.31

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Why These Related Problems?

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