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Finding the Fourth Proportional to 12,806.82, 19,209.87 and 6,974.82

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Solution

The fourth proportional to 12,806.82, 19,209.87 and 6,974.82 is: 10,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.82 : 19,209.87 = 6,974.82 : x
  2. Step 2: Convert to fraction form
    12,806.82/19,209.87 = 6,974.82/x
  3. Step 3: Cross multiply
    12,806.82x = 19,209.87 × 6,974.82
  4. Step 4: Simplify right side
    12,806.82x = 133,985,385.47
  5. Step 5: Solve for x
    x = 133,985,385.47/12,806.82
  6. Step 6: Final answer
    x = 10,462.03

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1.5x scale

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.