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Finding the Fourth Proportional to 18,487.32, 27,726 and 8,616.96

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Solution

The fourth proportional to 18,487.32, 27,726 and 8,616.96 is: 12,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,487.32 : 27,726 = 8,616.96 : x
  2. Step 2: Convert to fraction form
    18,487.32/27,726 = 8,616.96/x
  3. Step 3: Cross multiply
    18,487.32x = 27,726 × 8,616.96
  4. Step 4: Simplify right side
    18,487.32x = 238,913,832.96
  5. Step 5: Solve for x
    x = 238,913,832.96/18,487.32
  6. Step 6: Final answer
    x = 12,923.12

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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.