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Finding the Fourth Proportional to 18,424.48, 27,636 and 5,276.80

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Solution

The fourth proportional to 18,424.48, 27,636 and 5,276.80 is: 7,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424.48 : 27,636 = 5,276.80 : x
  2. Step 2: Convert to fraction form
    18,424.48/27,636 = 5,276.80/x
  3. Step 3: Cross multiply
    18,424.48x = 27,636 × 5,276.80
  4. Step 4: Simplify right side
    18,424.48x = 145,829,644.80
  5. Step 5: Solve for x
    x = 145,829,644.80/18,424.48
  6. Step 6: Final answer
    x = 7,914.99

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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.