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Finding the Fourth Proportional to 15,641.86, 23,453.07 and 8,721.22

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Solution

The fourth proportional to 15,641.86, 23,453.07 and 8,721.22 is: 13,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.86 : 23,453.07 = 8,721.22 : x
  2. Step 2: Convert to fraction form
    15,641.86/23,453.07 = 8,721.22/x
  3. Step 3: Cross multiply
    15,641.86x = 23,453.07 × 8,721.22
  4. Step 4: Simplify right side
    15,641.86x = 204,539,383.15
  5. Step 5: Solve for x
    x = 204,539,383.15/15,641.86
  6. Step 6: Final answer
    x = 13,076.41

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1.5x scale

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.