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Finding the Fourth Proportional to 6,632.98, 9,951.63 and 3,170.50

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Solution

The fourth proportional to 6,632.98, 9,951.63 and 3,170.50 is: 4,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.98 : 9,951.63 = 3,170.50 : x
  2. Step 2: Convert to fraction form
    6,632.98/9,951.63 = 3,170.50/x
  3. Step 3: Cross multiply
    6,632.98x = 9,951.63 × 3,170.50
  4. Step 4: Simplify right side
    6,632.98x = 31,551,642.92
  5. Step 5: Solve for x
    x = 31,551,642.92/6,632.98
  6. Step 6: Final answer
    x = 4,756.78

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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.