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Finding the Fourth Proportional to 18,036.48, 27,032 and 8,172.80

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Solution

The fourth proportional to 18,036.48, 27,032 and 8,172.80 is: 12,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,036.48 : 27,032 = 8,172.80 : x
  2. Step 2: Convert to fraction form
    18,036.48/27,032 = 8,172.80/x
  3. Step 3: Cross multiply
    18,036.48x = 27,032 × 8,172.80
  4. Step 4: Simplify right side
    18,036.48x = 220,927,129.60
  5. Step 5: Solve for x
    x = 220,927,129.60/18,036.48
  6. Step 6: Final answer
    x = 12,248.90

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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.