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Finding the Fourth Proportional to 18,391.17, 27,565.05 and 7,858.11

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Solution

The fourth proportional to 18,391.17, 27,565.05 and 7,858.11 is: 11,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,391.17 : 27,565.05 = 7,858.11 : x
  2. Step 2: Convert to fraction form
    18,391.17/27,565.05 = 7,858.11/x
  3. Step 3: Cross multiply
    18,391.17x = 27,565.05 × 7,858.11
  4. Step 4: Simplify right side
    18,391.17x = 216,609,195.06
  5. Step 5: Solve for x
    x = 216,609,195.06/18,391.17
  6. Step 6: Final answer
    x = 11,777.89

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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.