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Finding the Fourth Proportional to 12,207.51, 16,850.34 and 7,171.59

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Solution

The fourth proportional to 12,207.51, 16,850.34 and 7,171.59 is: 9,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.51 : 16,850.34 = 7,171.59 : x
  2. Step 2: Convert to fraction form
    12,207.51/16,850.34 = 7,171.59/x
  3. Step 3: Cross multiply
    12,207.51x = 16,850.34 × 7,171.59
  4. Step 4: Simplify right side
    12,207.51x = 120,843,729.84
  5. Step 5: Solve for x
    x = 120,843,729.84/12,207.51
  6. Step 6: Final answer
    x = 9,899.13

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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.