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Finding the Fourth Proportional to 20,967, 31,450.50 and 5,384.63

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Solution

The fourth proportional to 20,967, 31,450.50 and 5,384.63 is: 8,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967 : 31,450.50 = 5,384.63 : x
  2. Step 2: Convert to fraction form
    20,967/31,450.50 = 5,384.63/x
  3. Step 3: Cross multiply
    20,967x = 31,450.50 × 5,384.63
  4. Step 4: Simplify right side
    20,967x = 169,349,148.56
  5. Step 5: Solve for x
    x = 169,349,148.56/20,967
  6. Step 6: Final answer
    x = 8,076.94

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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.