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Finding the Fourth Proportional to 11,425.66, 15,767.66 and 8,074.38

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Solution

The fourth proportional to 11,425.66, 15,767.66 and 8,074.38 is: 11,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.66 : 15,767.66 = 8,074.38 : x
  2. Step 2: Convert to fraction form
    11,425.66/15,767.66 = 8,074.38/x
  3. Step 3: Cross multiply
    11,425.66x = 15,767.66 × 8,074.38
  4. Step 4: Simplify right side
    11,425.66x = 127,314,157.87
  5. Step 5: Solve for x
    x = 127,314,157.87/11,425.66
  6. Step 6: Final answer
    x = 11,142.83

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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.