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Finding the Fourth Proportional to 13,825.22, 20,721.42 and 7,969.74

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Solution

The fourth proportional to 13,825.22, 20,721.42 and 7,969.74 is: 11,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.22 : 20,721.42 = 7,969.74 : x
  2. Step 2: Convert to fraction form
    13,825.22/20,721.42 = 7,969.74/x
  3. Step 3: Cross multiply
    13,825.22x = 20,721.42 × 7,969.74
  4. Step 4: Simplify right side
    13,825.22x = 165,144,329.83
  5. Step 5: Solve for x
    x = 165,144,329.83/13,825.22
  6. Step 6: Final answer
    x = 11,945.15

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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.