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Finding the Fourth Proportional to 33,989.34, 51,016.45 and 20,867.34

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Solution

The fourth proportional to 33,989.34, 51,016.45 and 20,867.34 is: 31,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989.34 : 51,016.45 = 20,867.34 : x
  2. Step 2: Convert to fraction form
    33,989.34/51,016.45 = 20,867.34/x
  3. Step 3: Cross multiply
    33,989.34x = 51,016.45 × 20,867.34
  4. Step 4: Simplify right side
    33,989.34x = 1,064,577,607.74
  5. Step 5: Solve for x
    x = 1,064,577,607.74/33,989.34
  6. Step 6: Final answer
    x = 31,320.93

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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.