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Finding the Fourth Proportional to 12,865, 17,753.70 and 6,977

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Solution

The fourth proportional to 12,865, 17,753.70 and 6,977 is: 9,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865 : 17,753.70 = 6,977 : x
  2. Step 2: Convert to fraction form
    12,865/17,753.70 = 6,977/x
  3. Step 3: Cross multiply
    12,865x = 17,753.70 × 6,977
  4. Step 4: Simplify right side
    12,865x = 123,867,564.90
  5. Step 5: Solve for x
    x = 123,867,564.90/12,865
  6. Step 6: Final answer
    x = 9,628.26

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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.