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Finding the Fourth Proportional to 11,700.63, 16,167.48 and 8,671.41

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Solution

The fourth proportional to 11,700.63, 16,167.48 and 8,671.41 is: 11,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.63 : 16,167.48 = 8,671.41 : x
  2. Step 2: Convert to fraction form
    11,700.63/16,167.48 = 8,671.41/x
  3. Step 3: Cross multiply
    11,700.63x = 16,167.48 × 8,671.41
  4. Step 4: Simplify right side
    11,700.63x = 140,194,847.75
  5. Step 5: Solve for x
    x = 140,194,847.75/11,700.63
  6. Step 6: Final answer
    x = 11,981.82

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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.