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Finding the Fourth Proportional to 18,480, 27,720.24 and 6,168

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Solution

The fourth proportional to 18,480, 27,720.24 and 6,168 is: 9,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480 : 27,720.24 = 6,168 : x
  2. Step 2: Convert to fraction form
    18,480/27,720.24 = 6,168/x
  3. Step 3: Cross multiply
    18,480x = 27,720.24 × 6,168
  4. Step 4: Simplify right side
    18,480x = 170,978,440.32
  5. Step 5: Solve for x
    x = 170,978,440.32/18,480
  6. Step 6: Final answer
    x = 9,252.08

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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.