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Finding the Fourth Proportional to 30,493.57, 45,744 and 10,768.09

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Solution

The fourth proportional to 30,493.57, 45,744 and 10,768.09 is: 16,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.57 : 45,744 = 10,768.09 : x
  2. Step 2: Convert to fraction form
    30,493.57/45,744 = 10,768.09/x
  3. Step 3: Cross multiply
    30,493.57x = 45,744 × 10,768.09
  4. Step 4: Simplify right side
    30,493.57x = 492,575,508.96
  5. Step 5: Solve for x
    x = 492,575,508.96/30,493.57
  6. Step 6: Final answer
    x = 16,153.42

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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.