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Finding the Fourth Proportional to 30,654, 45,981 and 8,766

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Solution

The fourth proportional to 30,654, 45,981 and 8,766 is: 13,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654 : 45,981 = 8,766 : x
  2. Step 2: Convert to fraction form
    30,654/45,981 = 8,766/x
  3. Step 3: Cross multiply
    30,654x = 45,981 × 8,766
  4. Step 4: Simplify right side
    30,654x = 403,069,446
  5. Step 5: Solve for x
    x = 403,069,446/30,654
  6. Step 6: Final answer
    x = 13,149

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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.