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Finding the Fourth Proportional to 13,275, 19,912.95 and 6,697.62

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Solution

The fourth proportional to 13,275, 19,912.95 and 6,697.62 is: 10,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 19,912.95 = 6,697.62 : x
  2. Step 2: Convert to fraction form
    13,275/19,912.95 = 6,697.62/x
  3. Step 3: Cross multiply
    13,275x = 19,912.95 × 6,697.62
  4. Step 4: Simplify right side
    13,275x = 133,369,372.18
  5. Step 5: Solve for x
    x = 133,369,372.18/13,275
  6. Step 6: Final answer
    x = 10,046.66

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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.