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Finding the Fourth Proportional to 33,814, 50,721.06 and 9,190

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Solution

The fourth proportional to 33,814, 50,721.06 and 9,190 is: 13,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814 : 50,721.06 = 9,190 : x
  2. Step 2: Convert to fraction form
    33,814/50,721.06 = 9,190/x
  3. Step 3: Cross multiply
    33,814x = 50,721.06 × 9,190
  4. Step 4: Simplify right side
    33,814x = 466,126,541.40
  5. Step 5: Solve for x
    x = 466,126,541.40/33,814
  6. Step 6: Final answer
    x = 13,785.02

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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.