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Finding the Fourth Proportional to 12,382.16, 18,561 and 4,588.88

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Solution

The fourth proportional to 12,382.16, 18,561 and 4,588.88 is: 6,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.16 : 18,561 = 4,588.88 : x
  2. Step 2: Convert to fraction form
    12,382.16/18,561 = 4,588.88/x
  3. Step 3: Cross multiply
    12,382.16x = 18,561 × 4,588.88
  4. Step 4: Simplify right side
    12,382.16x = 85,174,201.68
  5. Step 5: Solve for x
    x = 85,174,201.68/12,382.16
  6. Step 6: Final answer
    x = 6,878.78

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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.