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Finding the Fourth Proportional to 12,187.67, 16,813.62 and 7,149.33

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Solution

The fourth proportional to 12,187.67, 16,813.62 and 7,149.33 is: 9,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.67 : 16,813.62 = 7,149.33 : x
  2. Step 2: Convert to fraction form
    12,187.67/16,813.62 = 7,149.33/x
  3. Step 3: Cross multiply
    12,187.67x = 16,813.62 × 7,149.33
  4. Step 4: Simplify right side
    12,187.67x = 120,206,117.87
  5. Step 5: Solve for x
    x = 120,206,117.87/12,187.67
  6. Step 6: Final answer
    x = 9,862.93

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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.