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Finding the Fourth Proportional to 18,203.86, 27,309 and 7,530.19

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Solution

The fourth proportional to 18,203.86, 27,309 and 7,530.19 is: 11,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,203.86 : 27,309 = 7,530.19 : x
  2. Step 2: Convert to fraction form
    18,203.86/27,309 = 7,530.19/x
  3. Step 3: Cross multiply
    18,203.86x = 27,309 × 7,530.19
  4. Step 4: Simplify right side
    18,203.86x = 205,641,958.71
  5. Step 5: Solve for x
    x = 205,641,958.71/18,203.86
  6. Step 6: Final answer
    x = 11,296.61

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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.