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Finding the Fourth Proportional to 3,295.33, 4,942.82 and 830.15

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Solution

The fourth proportional to 3,295.33, 4,942.82 and 830.15 is: 1,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.33 : 4,942.82 = 830.15 : x
  2. Step 2: Convert to fraction form
    3,295.33/4,942.82 = 830.15/x
  3. Step 3: Cross multiply
    3,295.33x = 4,942.82 × 830.15
  4. Step 4: Simplify right side
    3,295.33x = 4,103,253.16
  5. Step 5: Solve for x
    x = 4,103,253.16/3,295.33
  6. Step 6: Final answer
    x = 1,245.17

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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.