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Finding the Fourth Proportional to 20,974, 31,462.80 and 6,934

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Solution

The fourth proportional to 20,974, 31,462.80 and 6,934 is: 10,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974 : 31,462.80 = 6,934 : x
  2. Step 2: Convert to fraction form
    20,974/31,462.80 = 6,934/x
  3. Step 3: Cross multiply
    20,974x = 31,462.80 × 6,934
  4. Step 4: Simplify right side
    20,974x = 218,163,055.20
  5. Step 5: Solve for x
    x = 218,163,055.20/20,974
  6. Step 6: Final answer
    x = 10,401.60

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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.