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Finding the Fourth Proportional to 12,259.97, 16,922.33 and 8,011.65

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Solution

The fourth proportional to 12,259.97, 16,922.33 and 8,011.65 is: 11,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.97 : 16,922.33 = 8,011.65 : x
  2. Step 2: Convert to fraction form
    12,259.97/16,922.33 = 8,011.65/x
  3. Step 3: Cross multiply
    12,259.97x = 16,922.33 × 8,011.65
  4. Step 4: Simplify right side
    12,259.97x = 135,575,745.09
  5. Step 5: Solve for x
    x = 135,575,745.09/12,259.97
  6. Step 6: Final answer
    x = 11,058.41

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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.