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Finding the Fourth Proportional to 20,692, 31,041.24 and 6,844.24

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Solution

The fourth proportional to 20,692, 31,041.24 and 6,844.24 is: 10,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692 : 31,041.24 = 6,844.24 : x
  2. Step 2: Convert to fraction form
    20,692/31,041.24 = 6,844.24/x
  3. Step 3: Cross multiply
    20,692x = 31,041.24 × 6,844.24
  4. Step 4: Simplify right side
    20,692x = 212,453,696.46
  5. Step 5: Solve for x
    x = 212,453,696.46/20,692
  6. Step 6: Final answer
    x = 10,267.43

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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.