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Finding the Fourth Proportional to 12,660.75, 18,942.93 and 7,644.66

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Solution

The fourth proportional to 12,660.75, 18,942.93 and 7,644.66 is: 11,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.75 : 18,942.93 = 7,644.66 : x
  2. Step 2: Convert to fraction form
    12,660.75/18,942.93 = 7,644.66/x
  3. Step 3: Cross multiply
    12,660.75x = 18,942.93 × 7,644.66
  4. Step 4: Simplify right side
    12,660.75x = 144,812,216.89
  5. Step 5: Solve for x
    x = 144,812,216.89/12,660.75
  6. Step 6: Final answer
    x = 11,437.89

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Why These Related Problems?

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