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Finding the Fourth Proportional to 14,855.46, 20,500.47 and 8,141.34

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Solution

The fourth proportional to 14,855.46, 20,500.47 and 8,141.34 is: 11,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.46 : 20,500.47 = 8,141.34 : x
  2. Step 2: Convert to fraction form
    14,855.46/20,500.47 = 8,141.34/x
  3. Step 3: Cross multiply
    14,855.46x = 20,500.47 × 8,141.34
  4. Step 4: Simplify right side
    14,855.46x = 166,901,296.43
  5. Step 5: Solve for x
    x = 166,901,296.43/14,855.46
  6. Step 6: Final answer
    x = 11,235.01

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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.