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Finding the Fourth Proportional to 18,259.29, 27,391.50 and 5,778

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Solution

The fourth proportional to 18,259.29, 27,391.50 and 5,778 is: 8,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.29 : 27,391.50 = 5,778 : x
  2. Step 2: Convert to fraction form
    18,259.29/27,391.50 = 5,778/x
  3. Step 3: Cross multiply
    18,259.29x = 27,391.50 × 5,778
  4. Step 4: Simplify right side
    18,259.29x = 158,268,087
  5. Step 5: Solve for x
    x = 158,268,087/18,259.29
  6. Step 6: Final answer
    x = 8,667.81

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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.