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Finding the Fourth Proportional to 21,229.45, 31,844.06 and 5,434.45

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Solution

The fourth proportional to 21,229.45, 31,844.06 and 5,434.45 is: 8,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.45 : 31,844.06 = 5,434.45 : x
  2. Step 2: Convert to fraction form
    21,229.45/31,844.06 = 5,434.45/x
  3. Step 3: Cross multiply
    21,229.45x = 31,844.06 × 5,434.45
  4. Step 4: Simplify right side
    21,229.45x = 173,054,845.08
  5. Step 5: Solve for x
    x = 173,054,845.08/21,229.45
  6. Step 6: Final answer
    x = 8,151.64

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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.