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Finding the Fourth Proportional to 12,414.16, 17,131.68 and 6,748.90

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Solution

The fourth proportional to 12,414.16, 17,131.68 and 6,748.90 is: 9,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.16 : 17,131.68 = 6,748.90 : x
  2. Step 2: Convert to fraction form
    12,414.16/17,131.68 = 6,748.90/x
  3. Step 3: Cross multiply
    12,414.16x = 17,131.68 × 6,748.90
  4. Step 4: Simplify right side
    12,414.16x = 115,619,995.15
  5. Step 5: Solve for x
    x = 115,619,995.15/12,414.16
  6. Step 6: Final answer
    x = 9,313.56

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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.