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Finding the Fourth Proportional to 12,218.54, 16,862.61 and 6,914.38

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Solution

The fourth proportional to 12,218.54, 16,862.61 and 6,914.38 is: 9,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.54 : 16,862.61 = 6,914.38 : x
  2. Step 2: Convert to fraction form
    12,218.54/16,862.61 = 6,914.38/x
  3. Step 3: Cross multiply
    12,218.54x = 16,862.61 × 6,914.38
  4. Step 4: Simplify right side
    12,218.54x = 116,594,493.33
  5. Step 5: Solve for x
    x = 116,594,493.33/12,218.54
  6. Step 6: Final answer
    x = 9,542.42

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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.