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Finding the Fourth Proportional to 6,388.40, 9,582.28 and 2,227.12

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Solution

The fourth proportional to 6,388.40, 9,582.28 and 2,227.12 is: 3,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.40 : 9,582.28 = 2,227.12 : x
  2. Step 2: Convert to fraction form
    6,388.40/9,582.28 = 2,227.12/x
  3. Step 3: Cross multiply
    6,388.40x = 9,582.28 × 2,227.12
  4. Step 4: Simplify right side
    6,388.40x = 21,340,887.43
  5. Step 5: Solve for x
    x = 21,340,887.43/6,388.40
  6. Step 6: Final answer
    x = 3,340.57

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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.