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Finding the Fourth Proportional to 14,855.94, 20,500.76 and 8,141.42

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Solution

The fourth proportional to 14,855.94, 20,500.76 and 8,141.42 is: 11,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.94 : 20,500.76 = 8,141.42 : x
  2. Step 2: Convert to fraction form
    14,855.94/20,500.76 = 8,141.42/x
  3. Step 3: Cross multiply
    14,855.94x = 20,500.76 × 8,141.42
  4. Step 4: Simplify right side
    14,855.94x = 166,905,297.48
  5. Step 5: Solve for x
    x = 166,905,297.48/14,855.94
  6. Step 6: Final answer
    x = 11,234.92

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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.