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Finding the Fourth Proportional to 18,833.64, 28,259.64 and 7,743.66

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Solution

The fourth proportional to 18,833.64, 28,259.64 and 7,743.66 is: 11,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.64 : 28,259.64 = 7,743.66 : x
  2. Step 2: Convert to fraction form
    18,833.64/28,259.64 = 7,743.66/x
  3. Step 3: Cross multiply
    18,833.64x = 28,259.64 × 7,743.66
  4. Step 4: Simplify right side
    18,833.64x = 218,833,043.88
  5. Step 5: Solve for x
    x = 218,833,043.88/18,833.64
  6. Step 6: Final answer
    x = 11,619.26

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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.