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Finding the Fourth Proportional to 15,224.22, 21,009.78 and 8,509.68

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Solution

The fourth proportional to 15,224.22, 21,009.78 and 8,509.68 is: 11,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.22 : 21,009.78 = 8,509.68 : x
  2. Step 2: Convert to fraction form
    15,224.22/21,009.78 = 8,509.68/x
  3. Step 3: Cross multiply
    15,224.22x = 21,009.78 × 8,509.68
  4. Step 4: Simplify right side
    15,224.22x = 178,786,504.67
  5. Step 5: Solve for x
    x = 178,786,504.67/15,224.22
  6. Step 6: Final answer
    x = 11,743.56

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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.