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Finding the Fourth Proportional to 18,518.56, 27,772.72 and 8,648.16

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Solution

The fourth proportional to 18,518.56, 27,772.72 and 8,648.16 is: 12,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,518.56 : 27,772.72 = 8,648.16 : x
  2. Step 2: Convert to fraction form
    18,518.56/27,772.72 = 8,648.16/x
  3. Step 3: Cross multiply
    18,518.56x = 27,772.72 × 8,648.16
  4. Step 4: Simplify right side
    18,518.56x = 240,182,926.20
  5. Step 5: Solve for x
    x = 240,182,926.20/18,518.56
  6. Step 6: Final answer
    x = 12,969.85

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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.