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Finding the Fourth Proportional to 8,185.79, 12,278.77 and 4,486

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Solution

The fourth proportional to 8,185.79, 12,278.77 and 4,486 is: 6,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.79 : 12,278.77 = 4,486 : x
  2. Step 2: Convert to fraction form
    8,185.79/12,278.77 = 4,486/x
  3. Step 3: Cross multiply
    8,185.79x = 12,278.77 × 4,486
  4. Step 4: Simplify right side
    8,185.79x = 55,082,562.22
  5. Step 5: Solve for x
    x = 55,082,562.22/8,185.79
  6. Step 6: Final answer
    x = 6,729.05

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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.