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Finding the Fourth Proportional to 22,460, 33,677.04 and 9,980

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Solution

The fourth proportional to 22,460, 33,677.04 and 9,980 is: 14,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,460 : 33,677.04 = 9,980 : x
  2. Step 2: Convert to fraction form
    22,460/33,677.04 = 9,980/x
  3. Step 3: Cross multiply
    22,460x = 33,677.04 × 9,980
  4. Step 4: Simplify right side
    22,460x = 336,096,859.20
  5. Step 5: Solve for x
    x = 336,096,859.20/22,460
  6. Step 6: Final answer
    x = 14,964.24

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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.