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Finding the Fourth Proportional to 18,675.60, 27,989.17 and 7,569.31

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Solution

The fourth proportional to 18,675.60, 27,989.17 and 7,569.31 is: 11,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675.60 : 27,989.17 = 7,569.31 : x
  2. Step 2: Convert to fraction form
    18,675.60/27,989.17 = 7,569.31/x
  3. Step 3: Cross multiply
    18,675.60x = 27,989.17 × 7,569.31
  4. Step 4: Simplify right side
    18,675.60x = 211,858,704.37
  5. Step 5: Solve for x
    x = 211,858,704.37/18,675.60
  6. Step 6: Final answer
    x = 11,344.14

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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.