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Finding the Fourth Proportional to 12,757.73, 19,138.64 and 5,364.30

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Solution

The fourth proportional to 12,757.73, 19,138.64 and 5,364.30 is: 8,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.73 : 19,138.64 = 5,364.30 : x
  2. Step 2: Convert to fraction form
    12,757.73/19,138.64 = 5,364.30/x
  3. Step 3: Cross multiply
    12,757.73x = 19,138.64 × 5,364.30
  4. Step 4: Simplify right side
    12,757.73x = 102,665,435.39
  5. Step 5: Solve for x
    x = 102,665,435.39/12,757.73
  6. Step 6: Final answer
    x = 8,047.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.