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Finding the Fourth Proportional to 18,321.48, 27,463.68 and 7,236

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Solution

The fourth proportional to 18,321.48, 27,463.68 and 7,236 is: 10,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,321.48 : 27,463.68 = 7,236 : x
  2. Step 2: Convert to fraction form
    18,321.48/27,463.68 = 7,236/x
  3. Step 3: Cross multiply
    18,321.48x = 27,463.68 × 7,236
  4. Step 4: Simplify right side
    18,321.48x = 198,727,188.48
  5. Step 5: Solve for x
    x = 198,727,188.48/18,321.48
  6. Step 6: Final answer
    x = 10,846.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.