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Finding the Fourth Proportional to 12,561, 17,334.99 and 6,972

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Solution

The fourth proportional to 12,561, 17,334.99 and 6,972 is: 9,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561 : 17,334.99 = 6,972 : x
  2. Step 2: Convert to fraction form
    12,561/17,334.99 = 6,972/x
  3. Step 3: Cross multiply
    12,561x = 17,334.99 × 6,972
  4. Step 4: Simplify right side
    12,561x = 120,859,550.28
  5. Step 5: Solve for x
    x = 120,859,550.28/12,561
  6. Step 6: Final answer
    x = 9,621.81

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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.