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Finding the Fourth Proportional to 12,114.65, 18,179.68 and 6,271.27

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Solution

The fourth proportional to 12,114.65, 18,179.68 and 6,271.27 is: 9,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.65 : 18,179.68 = 6,271.27 : x
  2. Step 2: Convert to fraction form
    12,114.65/18,179.68 = 6,271.27/x
  3. Step 3: Cross multiply
    12,114.65x = 18,179.68 × 6,271.27
  4. Step 4: Simplify right side
    12,114.65x = 114,009,620.67
  5. Step 5: Solve for x
    x = 114,009,620.67/12,114.65
  6. Step 6: Final answer
    x = 9,410.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.