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Finding the Fourth Proportional to 8,146, 12,219.72 and 3,764.68

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Solution

The fourth proportional to 8,146, 12,219.72 and 3,764.68 is: 5,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146 : 12,219.72 = 3,764.68 : x
  2. Step 2: Convert to fraction form
    8,146/12,219.72 = 3,764.68/x
  3. Step 3: Cross multiply
    8,146x = 12,219.72 × 3,764.68
  4. Step 4: Simplify right side
    8,146x = 46,003,335.49
  5. Step 5: Solve for x
    x = 46,003,335.49/8,146
  6. Step 6: Final answer
    x = 5,647.35

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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.