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Finding the Fourth Proportional to 12,821.25, 17,667.04 and 9,458.73

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Solution

The fourth proportional to 12,821.25, 17,667.04 and 9,458.73 is: 13,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.25 : 17,667.04 = 9,458.73 : x
  2. Step 2: Convert to fraction form
    12,821.25/17,667.04 = 9,458.73/x
  3. Step 3: Cross multiply
    12,821.25x = 17,667.04 × 9,458.73
  4. Step 4: Simplify right side
    12,821.25x = 167,107,761.26
  5. Step 5: Solve for x
    x = 167,107,761.26/12,821.25
  6. Step 6: Final answer
    x = 13,033.66

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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.