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Finding the Fourth Proportional to 7,229.84, 10,845.20 and 3,535.20

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Solution

The fourth proportional to 7,229.84, 10,845.20 and 3,535.20 is: 5,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.84 : 10,845.20 = 3,535.20 : x
  2. Step 2: Convert to fraction form
    7,229.84/10,845.20 = 3,535.20/x
  3. Step 3: Cross multiply
    7,229.84x = 10,845.20 × 3,535.20
  4. Step 4: Simplify right side
    7,229.84x = 38,339,951.04
  5. Step 5: Solve for x
    x = 38,339,951.04/7,229.84
  6. Step 6: Final answer
    x = 5,303.02

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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.