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Finding the Fourth Proportional to 6,633.24, 9,947.88 and 4,778.76

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Solution

The fourth proportional to 6,633.24, 9,947.88 and 4,778.76 is: 7,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.24 : 9,947.88 = 4,778.76 : x
  2. Step 2: Convert to fraction form
    6,633.24/9,947.88 = 4,778.76/x
  3. Step 3: Cross multiply
    6,633.24x = 9,947.88 × 4,778.76
  4. Step 4: Simplify right side
    6,633.24x = 47,538,531.03
  5. Step 5: Solve for x
    x = 47,538,531.03/6,633.24
  6. Step 6: Final answer
    x = 7,166.71

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1.5x scale

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.