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Finding the Fourth Proportional to 12,736, 17,577.30 and 7,147

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Solution

The fourth proportional to 12,736, 17,577.30 and 7,147 is: 9,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736 : 17,577.30 = 7,147 : x
  2. Step 2: Convert to fraction form
    12,736/17,577.30 = 7,147/x
  3. Step 3: Cross multiply
    12,736x = 17,577.30 × 7,147
  4. Step 4: Simplify right side
    12,736x = 125,624,963.10
  5. Step 5: Solve for x
    x = 125,624,963.10/12,736
  6. Step 6: Final answer
    x = 9,863.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.