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Finding the Fourth Proportional to 12,586, 17,368.74 and 6,997

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Solution

The fourth proportional to 12,586, 17,368.74 and 6,997 is: 9,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 17,368.74 = 6,997 : x
  2. Step 2: Convert to fraction form
    12,586/17,368.74 = 6,997/x
  3. Step 3: Cross multiply
    12,586x = 17,368.74 × 6,997
  4. Step 4: Simplify right side
    12,586x = 121,529,073.78
  5. Step 5: Solve for x
    x = 121,529,073.78/12,586
  6. Step 6: Final answer
    x = 9,655.89

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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.