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Finding the Fourth Proportional to 6,635.20, 9,206.20 and 6,578.68

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Solution

The fourth proportional to 6,635.20, 9,206.20 and 6,578.68 is: 9,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.20 : 9,206.20 = 6,578.68 : x
  2. Step 2: Convert to fraction form
    6,635.20/9,206.20 = 6,578.68/x
  3. Step 3: Cross multiply
    6,635.20x = 9,206.20 × 6,578.68
  4. Step 4: Simplify right side
    6,635.20x = 60,564,643.82
  5. Step 5: Solve for x
    x = 60,564,643.82/6,635.20
  6. Step 6: Final answer
    x = 9,127.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.