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Finding the Fourth Proportional to 14,842, 20,481.60 and 8,127.91

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Solution

The fourth proportional to 14,842, 20,481.60 and 8,127.91 is: 11,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 20,481.60 = 8,127.91 : x
  2. Step 2: Convert to fraction form
    14,842/20,481.60 = 8,127.91/x
  3. Step 3: Cross multiply
    14,842x = 20,481.60 × 8,127.91
  4. Step 4: Simplify right side
    14,842x = 166,472,601.46
  5. Step 5: Solve for x
    x = 166,472,601.46/14,842
  6. Step 6: Final answer
    x = 11,216.32

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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.