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Finding the Fourth Proportional to 18,489.68, 27,739 and 6,178.64

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Solution

The fourth proportional to 18,489.68, 27,739 and 6,178.64 is: 9,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.68 : 27,739 = 6,178.64 : x
  2. Step 2: Convert to fraction form
    18,489.68/27,739 = 6,178.64/x
  3. Step 3: Cross multiply
    18,489.68x = 27,739 × 6,178.64
  4. Step 4: Simplify right side
    18,489.68x = 171,389,294.96
  5. Step 5: Solve for x
    x = 171,389,294.96/18,489.68
  6. Step 6: Final answer
    x = 9,269.46

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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.