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Finding the Fourth Proportional to 18,129.64, 25,019.04 and 11,842

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Solution

The fourth proportional to 18,129.64, 25,019.04 and 11,842 is: 16,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.64 : 25,019.04 = 11,842 : x
  2. Step 2: Convert to fraction form
    18,129.64/25,019.04 = 11,842/x
  3. Step 3: Cross multiply
    18,129.64x = 25,019.04 × 11,842
  4. Step 4: Simplify right side
    18,129.64x = 296,275,471.68
  5. Step 5: Solve for x
    x = 296,275,471.68/18,129.64
  6. Step 6: Final answer
    x = 16,342.05

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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.