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Finding the Fourth Proportional to 7,226.76, 9,972.92 and 3,914.76

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Solution

The fourth proportional to 7,226.76, 9,972.92 and 3,914.76 is: 5,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.76 : 9,972.92 = 3,914.76 : x
  2. Step 2: Convert to fraction form
    7,226.76/9,972.92 = 3,914.76/x
  3. Step 3: Cross multiply
    7,226.76x = 9,972.92 × 3,914.76
  4. Step 4: Simplify right side
    7,226.76x = 39,041,588.30
  5. Step 5: Solve for x
    x = 39,041,588.30/7,226.76
  6. Step 6: Final answer
    x = 5,402.36

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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.