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Finding the Fourth Proportional to 30,460, 45,690 and 11,992

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Solution

The fourth proportional to 30,460, 45,690 and 11,992 is: 17,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460 : 45,690 = 11,992 : x
  2. Step 2: Convert to fraction form
    30,460/45,690 = 11,992/x
  3. Step 3: Cross multiply
    30,460x = 45,690 × 11,992
  4. Step 4: Simplify right side
    30,460x = 547,914,480
  5. Step 5: Solve for x
    x = 547,914,480/30,460
  6. Step 6: Final answer
    x = 17,988

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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.