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Finding the Fourth Proportional to 22,459, 33,675.54 and 9,979

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Solution

The fourth proportional to 22,459, 33,675.54 and 9,979 is: 14,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459 : 33,675.54 = 9,979 : x
  2. Step 2: Convert to fraction form
    22,459/33,675.54 = 9,979/x
  3. Step 3: Cross multiply
    22,459x = 33,675.54 × 9,979
  4. Step 4: Simplify right side
    22,459x = 336,048,213.66
  5. Step 5: Solve for x
    x = 336,048,213.66/22,459
  6. Step 6: Final answer
    x = 14,962.74

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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.