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Finding the Fourth Proportional to 11,427.66, 15,770.42 and 8,076.38

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Solution

The fourth proportional to 11,427.66, 15,770.42 and 8,076.38 is: 11,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.66 : 15,770.42 = 8,076.38 : x
  2. Step 2: Convert to fraction form
    11,427.66/15,770.42 = 8,076.38/x
  3. Step 3: Cross multiply
    11,427.66x = 15,770.42 × 8,076.38
  4. Step 4: Simplify right side
    11,427.66x = 127,367,904.68
  5. Step 5: Solve for x
    x = 127,367,904.68/11,427.66
  6. Step 6: Final answer
    x = 11,145.58

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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.