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Finding the Fourth Proportional to 12,294.38, 16,973.25 and 8,114.78

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Solution

The fourth proportional to 12,294.38, 16,973.25 and 8,114.78 is: 11,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.38 : 16,973.25 = 8,114.78 : x
  2. Step 2: Convert to fraction form
    12,294.38/16,973.25 = 8,114.78/x
  3. Step 3: Cross multiply
    12,294.38x = 16,973.25 × 8,114.78
  4. Step 4: Simplify right side
    12,294.38x = 137,734,201.64
  5. Step 5: Solve for x
    x = 137,734,201.64/12,294.38
  6. Step 6: Final answer
    x = 11,203.02

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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.