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Finding the Fourth Proportional to 30,455, 45,683 and 10,733.79

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Solution

The fourth proportional to 30,455, 45,683 and 10,733.79 is: 16,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,455 : 45,683 = 10,733.79 : x
  2. Step 2: Convert to fraction form
    30,455/45,683 = 10,733.79/x
  3. Step 3: Cross multiply
    30,455x = 45,683 × 10,733.79
  4. Step 4: Simplify right side
    30,455x = 490,351,728.57
  5. Step 5: Solve for x
    x = 490,351,728.57/30,455
  6. Step 6: Final answer
    x = 16,100.86

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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.