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Finding the Fourth Proportional to 20,694.76, 31,047 and 6,843.76

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Solution

The fourth proportional to 20,694.76, 31,047 and 6,843.76 is: 10,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.76 : 31,047 = 6,843.76 : x
  2. Step 2: Convert to fraction form
    20,694.76/31,047 = 6,843.76/x
  3. Step 3: Cross multiply
    20,694.76x = 31,047 × 6,843.76
  4. Step 4: Simplify right side
    20,694.76x = 212,478,216.72
  5. Step 5: Solve for x
    x = 212,478,216.72/20,694.76
  6. Step 6: Final answer
    x = 10,267.25

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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.