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Finding the Fourth Proportional to 18,291.34, 27,438.18 and 7,903

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Solution

The fourth proportional to 18,291.34, 27,438.18 and 7,903 is: 11,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291.34 : 27,438.18 = 7,903 : x
  2. Step 2: Convert to fraction form
    18,291.34/27,438.18 = 7,903/x
  3. Step 3: Cross multiply
    18,291.34x = 27,438.18 × 7,903
  4. Step 4: Simplify right side
    18,291.34x = 216,843,936.54
  5. Step 5: Solve for x
    x = 216,843,936.54/18,291.34
  6. Step 6: Final answer
    x = 11,855.01

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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.