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Finding the Fourth Proportional to 18,270.16, 27,407 and 5,122.48

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Solution

The fourth proportional to 18,270.16, 27,407 and 5,122.48 is: 7,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.16 : 27,407 = 5,122.48 : x
  2. Step 2: Convert to fraction form
    18,270.16/27,407 = 5,122.48/x
  3. Step 3: Cross multiply
    18,270.16x = 27,407 × 5,122.48
  4. Step 4: Simplify right side
    18,270.16x = 140,391,809.36
  5. Step 5: Solve for x
    x = 140,391,809.36/18,270.16
  6. Step 6: Final answer
    x = 7,684.21

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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.