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Finding the Fourth Proportional to 6,512.12, 9,761.12 and 3,176.58

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Solution

The fourth proportional to 6,512.12, 9,761.12 and 3,176.58 is: 4,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.12 : 9,761.12 = 3,176.58 : x
  2. Step 2: Convert to fraction form
    6,512.12/9,761.12 = 3,176.58/x
  3. Step 3: Cross multiply
    6,512.12x = 9,761.12 × 3,176.58
  4. Step 4: Simplify right side
    6,512.12x = 31,006,946.71
  5. Step 5: Solve for x
    x = 31,006,946.71/6,512.12
  6. Step 6: Final answer
    x = 4,761.42

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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.