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Finding the Fourth Proportional to 11,748.57, 16,213.05 and 6,443.43

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Solution

The fourth proportional to 11,748.57, 16,213.05 and 6,443.43 is: 8,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.57 : 16,213.05 = 6,443.43 : x
  2. Step 2: Convert to fraction form
    11,748.57/16,213.05 = 6,443.43/x
  3. Step 3: Cross multiply
    11,748.57x = 16,213.05 × 6,443.43
  4. Step 4: Simplify right side
    11,748.57x = 104,467,652.76
  5. Step 5: Solve for x
    x = 104,467,652.76/11,748.57
  6. Step 6: Final answer
    x = 8,891.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.