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Finding the Fourth Proportional to 12,224, 16,863.90 and 9,386.48

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Solution

The fourth proportional to 12,224, 16,863.90 and 9,386.48 is: 12,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 16,863.90 = 9,386.48 : x
  2. Step 2: Convert to fraction form
    12,224/16,863.90 = 9,386.48/x
  3. Step 3: Cross multiply
    12,224x = 16,863.90 × 9,386.48
  4. Step 4: Simplify right side
    12,224x = 158,292,660.07
  5. Step 5: Solve for x
    x = 158,292,660.07/12,224
  6. Step 6: Final answer
    x = 12,949.33

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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.