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Finding the Fourth Proportional to 30,234, 45,351 and 11,766

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Solution

The fourth proportional to 30,234, 45,351 and 11,766 is: 17,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234 : 45,351 = 11,766 : x
  2. Step 2: Convert to fraction form
    30,234/45,351 = 11,766/x
  3. Step 3: Cross multiply
    30,234x = 45,351 × 11,766
  4. Step 4: Simplify right side
    30,234x = 533,599,866
  5. Step 5: Solve for x
    x = 533,599,866/30,234
  6. Step 6: Final answer
    x = 17,649

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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.