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Finding the Fourth Proportional to 12,767, 17,617.38 and 7,177.64

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Solution

The fourth proportional to 12,767, 17,617.38 and 7,177.64 is: 9,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767 : 17,617.38 = 7,177.64 : x
  2. Step 2: Convert to fraction form
    12,767/17,617.38 = 7,177.64/x
  3. Step 3: Cross multiply
    12,767x = 17,617.38 × 7,177.64
  4. Step 4: Simplify right side
    12,767x = 126,451,211.38
  5. Step 5: Solve for x
    x = 126,451,211.38/12,767
  6. Step 6: Final answer
    x = 9,904.54

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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.