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Finding the Fourth Proportional to 12,840, 19,263.24 and 3,606

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Solution

The fourth proportional to 12,840, 19,263.24 and 3,606 is: 5,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 19,263.24 = 3,606 : x
  2. Step 2: Convert to fraction form
    12,840/19,263.24 = 3,606/x
  3. Step 3: Cross multiply
    12,840x = 19,263.24 × 3,606
  4. Step 4: Simplify right side
    12,840x = 69,463,243.44
  5. Step 5: Solve for x
    x = 69,463,243.44/12,840
  6. Step 6: Final answer
    x = 5,409.91

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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.