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Finding the Fourth Proportional to 17,280.29, 25,923.48 and 7,148.64

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Solution

The fourth proportional to 17,280.29, 25,923.48 and 7,148.64 is: 10,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.29 : 25,923.48 = 7,148.64 : x
  2. Step 2: Convert to fraction form
    17,280.29/25,923.48 = 7,148.64/x
  3. Step 3: Cross multiply
    17,280.29x = 25,923.48 × 7,148.64
  4. Step 4: Simplify right side
    17,280.29x = 185,317,610.97
  5. Step 5: Solve for x
    x = 185,317,610.97/17,280.29
  6. Step 6: Final answer
    x = 10,724.22

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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.