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Finding the Fourth Proportional to 12,110.76, 16,706.16 and 8,134.47

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Solution

The fourth proportional to 12,110.76, 16,706.16 and 8,134.47 is: 11,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.76 : 16,706.16 = 8,134.47 : x
  2. Step 2: Convert to fraction form
    12,110.76/16,706.16 = 8,134.47/x
  3. Step 3: Cross multiply
    12,110.76x = 16,706.16 × 8,134.47
  4. Step 4: Simplify right side
    12,110.76x = 135,895,757.34
  5. Step 5: Solve for x
    x = 135,895,757.34/12,110.76
  6. Step 6: Final answer
    x = 11,221.08

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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.