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Finding the Fourth Proportional to 3,176.97, 4,764.77 and 1,615.32

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Solution

The fourth proportional to 3,176.97, 4,764.77 and 1,615.32 is: 2,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.97 : 4,764.77 = 1,615.32 : x
  2. Step 2: Convert to fraction form
    3,176.97/4,764.77 = 1,615.32/x
  3. Step 3: Cross multiply
    3,176.97x = 4,764.77 × 1,615.32
  4. Step 4: Simplify right side
    3,176.97x = 7,696,621.94
  5. Step 5: Solve for x
    x = 7,696,621.94/3,176.97
  6. Step 6: Final answer
    x = 2,422.63

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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.