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Finding the Fourth Proportional to 8,259, 12,388.50 and 5,183.16

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Solution

The fourth proportional to 8,259, 12,388.50 and 5,183.16 is: 7,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259 : 12,388.50 = 5,183.16 : x
  2. Step 2: Convert to fraction form
    8,259/12,388.50 = 5,183.16/x
  3. Step 3: Cross multiply
    8,259x = 12,388.50 × 5,183.16
  4. Step 4: Simplify right side
    8,259x = 64,211,577.66
  5. Step 5: Solve for x
    x = 64,211,577.66/8,259
  6. Step 6: Final answer
    x = 7,774.74

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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.