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Finding the Fourth Proportional to 20,929.30, 31,393.74 and 5,346.88

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Solution

The fourth proportional to 20,929.30, 31,393.74 and 5,346.88 is: 8,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.30 : 31,393.74 = 5,346.88 : x
  2. Step 2: Convert to fraction form
    20,929.30/31,393.74 = 5,346.88/x
  3. Step 3: Cross multiply
    20,929.30x = 31,393.74 × 5,346.88
  4. Step 4: Simplify right side
    20,929.30x = 167,858,560.53
  5. Step 5: Solve for x
    x = 167,858,560.53/20,929.30
  6. Step 6: Final answer
    x = 8,020.27

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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.