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Finding the Fourth Proportional to 12,661.64, 19,003.95 and 6,743.48

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Solution

The fourth proportional to 12,661.64, 19,003.95 and 6,743.48 is: 10,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.64 : 19,003.95 = 6,743.48 : x
  2. Step 2: Convert to fraction form
    12,661.64/19,003.95 = 6,743.48/x
  3. Step 3: Cross multiply
    12,661.64x = 19,003.95 × 6,743.48
  4. Step 4: Simplify right side
    12,661.64x = 128,152,661.73
  5. Step 5: Solve for x
    x = 128,152,661.73/12,661.64
  6. Step 6: Final answer
    x = 10,121.34

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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.