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Finding the Fourth Proportional to 14,621, 20,177.06 and 7,997

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Solution

The fourth proportional to 14,621, 20,177.06 and 7,997 is: 11,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,621 : 20,177.06 = 7,997 : x
  2. Step 2: Convert to fraction form
    14,621/20,177.06 = 7,997/x
  3. Step 3: Cross multiply
    14,621x = 20,177.06 × 7,997
  4. Step 4: Simplify right side
    14,621x = 161,355,948.82
  5. Step 5: Solve for x
    x = 161,355,948.82/14,621
  6. Step 6: Final answer
    x = 11,035.90

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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.