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Finding the Fourth Proportional to 8,118.30, 12,181.30 and 5,623.32

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Solution

The fourth proportional to 8,118.30, 12,181.30 and 5,623.32 is: 8,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.30 : 12,181.30 = 5,623.32 : x
  2. Step 2: Convert to fraction form
    8,118.30/12,181.30 = 5,623.32/x
  3. Step 3: Cross multiply
    8,118.30x = 12,181.30 × 5,623.32
  4. Step 4: Simplify right side
    8,118.30x = 68,499,319.80
  5. Step 5: Solve for x
    x = 68,499,319.80/8,118.30
  6. Step 6: Final answer
    x = 8,437.65

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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.