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Finding the Fourth Proportional to 17,387.56, 23,992.26 and 9,831.88

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Solution

The fourth proportional to 17,387.56, 23,992.26 and 9,831.88 is: 13,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,387.56 : 23,992.26 = 9,831.88 : x
  2. Step 2: Convert to fraction form
    17,387.56/23,992.26 = 9,831.88/x
  3. Step 3: Cross multiply
    17,387.56x = 23,992.26 × 9,831.88
  4. Step 4: Simplify right side
    17,387.56x = 235,889,021.25
  5. Step 5: Solve for x
    x = 235,889,021.25/17,387.56
  6. Step 6: Final answer
    x = 13,566.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.