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Finding the Fourth Proportional to 18,489.32, 27,727.90 and 9,249

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Solution

The fourth proportional to 18,489.32, 27,727.90 and 9,249 is: 13,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.32 : 27,727.90 = 9,249 : x
  2. Step 2: Convert to fraction form
    18,489.32/27,727.90 = 9,249/x
  3. Step 3: Cross multiply
    18,489.32x = 27,727.90 × 9,249
  4. Step 4: Simplify right side
    18,489.32x = 256,455,347.10
  5. Step 5: Solve for x
    x = 256,455,347.10/18,489.32
  6. Step 6: Final answer
    x = 13,870.46

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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.