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Finding the Fourth Proportional to 12,268.41, 16,913.39 and 8,283.21

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Solution

The fourth proportional to 12,268.41, 16,913.39 and 8,283.21 is: 11,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.41 : 16,913.39 = 8,283.21 : x
  2. Step 2: Convert to fraction form
    12,268.41/16,913.39 = 8,283.21/x
  3. Step 3: Cross multiply
    12,268.41x = 16,913.39 × 8,283.21
  4. Step 4: Simplify right side
    12,268.41x = 140,097,161.18
  5. Step 5: Solve for x
    x = 140,097,161.18/12,268.41
  6. Step 6: Final answer
    x = 11,419.34

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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.