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Finding the Fourth Proportional to 12,269.53, 16,914.94 and 8,284.33

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Solution

The fourth proportional to 12,269.53, 16,914.94 and 8,284.33 is: 11,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.53 : 16,914.94 = 8,284.33 : x
  2. Step 2: Convert to fraction form
    12,269.53/16,914.94 = 8,284.33/x
  3. Step 3: Cross multiply
    12,269.53x = 16,914.94 × 8,284.33
  4. Step 4: Simplify right side
    12,269.53x = 140,128,944.89
  5. Step 5: Solve for x
    x = 140,128,944.89/12,269.53
  6. Step 6: Final answer
    x = 11,420.89

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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.