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Finding the Fourth Proportional to 12,771, 19,161.90 and 9,096.84

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Solution

The fourth proportional to 12,771, 19,161.90 and 9,096.84 is: 13,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 19,161.90 = 9,096.84 : x
  2. Step 2: Convert to fraction form
    12,771/19,161.90 = 9,096.84/x
  3. Step 3: Cross multiply
    12,771x = 19,161.90 × 9,096.84
  4. Step 4: Simplify right side
    12,771x = 174,312,738.40
  5. Step 5: Solve for x
    x = 174,312,738.40/12,771
  6. Step 6: Final answer
    x = 13,649.11

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Double scale
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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.