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Finding the Fourth Proportional to 12,997.26, 17,937.99 and 7,961.76

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Solution

The fourth proportional to 12,997.26, 17,937.99 and 7,961.76 is: 10,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.26 : 17,937.99 = 7,961.76 : x
  2. Step 2: Convert to fraction form
    12,997.26/17,937.99 = 7,961.76/x
  3. Step 3: Cross multiply
    12,997.26x = 17,937.99 × 7,961.76
  4. Step 4: Simplify right side
    12,997.26x = 142,817,971.26
  5. Step 5: Solve for x
    x = 142,817,971.26/12,997.26
  6. Step 6: Final answer
    x = 10,988.31

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1.5x scale

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.