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Finding the Fourth Proportional to 12,406.89, 17,121.48 and 6,817.89

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Solution

The fourth proportional to 12,406.89, 17,121.48 and 6,817.89 is: 9,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.89 : 17,121.48 = 6,817.89 : x
  2. Step 2: Convert to fraction form
    12,406.89/17,121.48 = 6,817.89/x
  3. Step 3: Cross multiply
    12,406.89x = 17,121.48 × 6,817.89
  4. Step 4: Simplify right side
    12,406.89x = 116,732,367.28
  5. Step 5: Solve for x
    x = 116,732,367.28/12,406.89
  6. Step 6: Final answer
    x = 9,408.67

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Half scale
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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.