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Finding the Fourth Proportional to 18,240, 27,360.48 and 5,928

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Solution

The fourth proportional to 18,240, 27,360.48 and 5,928 is: 8,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,240 : 27,360.48 = 5,928 : x
  2. Step 2: Convert to fraction form
    18,240/27,360.48 = 5,928/x
  3. Step 3: Cross multiply
    18,240x = 27,360.48 × 5,928
  4. Step 4: Simplify right side
    18,240x = 162,192,925.44
  5. Step 5: Solve for x
    x = 162,192,925.44/18,240
  6. Step 6: Final answer
    x = 8,892.16

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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.