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Finding the Fourth Proportional to 12,614.88, 17,408.28 and 7,309.56

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Solution

The fourth proportional to 12,614.88, 17,408.28 and 7,309.56 is: 10,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.88 : 17,408.28 = 7,309.56 : x
  2. Step 2: Convert to fraction form
    12,614.88/17,408.28 = 7,309.56/x
  3. Step 3: Cross multiply
    12,614.88x = 17,408.28 × 7,309.56
  4. Step 4: Simplify right side
    12,614.88x = 127,246,867.16
  5. Step 5: Solve for x
    x = 127,246,867.16/12,614.88
  6. Step 6: Final answer
    x = 10,087.05

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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.