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Finding the Fourth Proportional to 7,642.62, 11,454.62 and 6,636.87

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Solution

The fourth proportional to 7,642.62, 11,454.62 and 6,636.87 is: 9,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.62 : 11,454.62 = 6,636.87 : x
  2. Step 2: Convert to fraction form
    7,642.62/11,454.62 = 6,636.87/x
  3. Step 3: Cross multiply
    7,642.62x = 11,454.62 × 6,636.87
  4. Step 4: Simplify right side
    7,642.62x = 76,022,790.66
  5. Step 5: Solve for x
    x = 76,022,790.66/7,642.62
  6. Step 6: Final answer
    x = 9,947.22

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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.