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Finding the Fourth Proportional to 30,469.70, 45,699.82 and 10,743.64

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Solution

The fourth proportional to 30,469.70, 45,699.82 and 10,743.64 is: 16,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.70 : 45,699.82 = 10,743.64 : x
  2. Step 2: Convert to fraction form
    30,469.70/45,699.82 = 10,743.64/x
  3. Step 3: Cross multiply
    30,469.70x = 45,699.82 × 10,743.64
  4. Step 4: Simplify right side
    30,469.70x = 490,982,414.14
  5. Step 5: Solve for x
    x = 490,982,414.14/30,469.70
  6. Step 6: Final answer
    x = 16,113.79

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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.