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Finding the Fourth Proportional to 18,626.76, 27,937.26 and 6,147

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Solution

The fourth proportional to 18,626.76, 27,937.26 and 6,147 is: 9,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626.76 : 27,937.26 = 6,147 : x
  2. Step 2: Convert to fraction form
    18,626.76/27,937.26 = 6,147/x
  3. Step 3: Cross multiply
    18,626.76x = 27,937.26 × 6,147
  4. Step 4: Simplify right side
    18,626.76x = 171,730,337.22
  5. Step 5: Solve for x
    x = 171,730,337.22/18,626.76
  6. Step 6: Final answer
    x = 9,219.55

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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.