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Finding the Fourth Proportional to 12,085.66, 16,670.82 and 7,997.44

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Solution

The fourth proportional to 12,085.66, 16,670.82 and 7,997.44 is: 11,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.66 : 16,670.82 = 7,997.44 : x
  2. Step 2: Convert to fraction form
    12,085.66/16,670.82 = 7,997.44/x
  3. Step 3: Cross multiply
    12,085.66x = 16,670.82 × 7,997.44
  4. Step 4: Simplify right side
    12,085.66x = 133,323,882.70
  5. Step 5: Solve for x
    x = 133,323,882.70/12,085.66
  6. Step 6: Final answer
    x = 11,031.58

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