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Finding the Fourth Proportional to 21,093.25, 31,629.08 and 7,048.21

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Solution

The fourth proportional to 21,093.25, 31,629.08 and 7,048.21 is: 10,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.25 : 31,629.08 = 7,048.21 : x
  2. Step 2: Convert to fraction form
    21,093.25/31,629.08 = 7,048.21/x
  3. Step 3: Cross multiply
    21,093.25x = 31,629.08 × 7,048.21
  4. Step 4: Simplify right side
    21,093.25x = 222,928,397.95
  5. Step 5: Solve for x
    x = 222,928,397.95/21,093.25
  6. Step 6: Final answer
    x = 10,568.71

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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.