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Finding the Fourth Proportional to 8,443.17, 12,666.09 and 3,764.82

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Solution

The fourth proportional to 8,443.17, 12,666.09 and 3,764.82 is: 5,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.17 : 12,666.09 = 3,764.82 : x
  2. Step 2: Convert to fraction form
    8,443.17/12,666.09 = 3,764.82/x
  3. Step 3: Cross multiply
    8,443.17x = 12,666.09 × 3,764.82
  4. Step 4: Simplify right side
    8,443.17x = 47,685,548.95
  5. Step 5: Solve for x
    x = 47,685,548.95/8,443.17
  6. Step 6: Final answer
    x = 5,647.83

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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.