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Finding the Fourth Proportional to 7,221.36, 9,950.22 and 6,426.84

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Solution

The fourth proportional to 7,221.36, 9,950.22 and 6,426.84 is: 8,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.36 : 9,950.22 = 6,426.84 : x
  2. Step 2: Convert to fraction form
    7,221.36/9,950.22 = 6,426.84/x
  3. Step 3: Cross multiply
    7,221.36x = 9,950.22 × 6,426.84
  4. Step 4: Simplify right side
    7,221.36x = 63,948,471.90
  5. Step 5: Solve for x
    x = 63,948,471.90/7,221.36
  6. Step 6: Final answer
    x = 8,855.46

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.