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Finding the Fourth Proportional to 18,823.72, 28,224.78 and 7,129.48

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Solution

The fourth proportional to 18,823.72, 28,224.78 and 7,129.48 is: 10,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.72 : 28,224.78 = 7,129.48 : x
  2. Step 2: Convert to fraction form
    18,823.72/28,224.78 = 7,129.48/x
  3. Step 3: Cross multiply
    18,823.72x = 28,224.78 × 7,129.48
  4. Step 4: Simplify right side
    18,823.72x = 201,228,004.51
  5. Step 5: Solve for x
    x = 201,228,004.51/18,823.72
  6. Step 6: Final answer
    x = 10,690.13

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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.