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Finding the Fourth Proportional to 18,660.57, 27,985.09 and 6,178.01

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Solution

The fourth proportional to 18,660.57, 27,985.09 and 6,178.01 is: 9,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,660.57 : 27,985.09 = 6,178.01 : x
  2. Step 2: Convert to fraction form
    18,660.57/27,985.09 = 6,178.01/x
  3. Step 3: Cross multiply
    18,660.57x = 27,985.09 × 6,178.01
  4. Step 4: Simplify right side
    18,660.57x = 172,892,165.87
  5. Step 5: Solve for x
    x = 172,892,165.87/18,660.57
  6. Step 6: Final answer
    x = 9,265.11

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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.