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Finding the Fourth Proportional to 12,406.78, 17,121.27 and 6,817.90

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Solution

The fourth proportional to 12,406.78, 17,121.27 and 6,817.90 is: 9,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.78 : 17,121.27 = 6,817.90 : x
  2. Step 2: Convert to fraction form
    12,406.78/17,121.27 = 6,817.90/x
  3. Step 3: Cross multiply
    12,406.78x = 17,121.27 × 6,817.90
  4. Step 4: Simplify right side
    12,406.78x = 116,731,106.73
  5. Step 5: Solve for x
    x = 116,731,106.73/12,406.78
  6. Step 6: Final answer
    x = 9,408.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.