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Finding the Fourth Proportional to 12,415.94, 17,131.53 and 6,965.18

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Solution

The fourth proportional to 12,415.94, 17,131.53 and 6,965.18 is: 9,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.94 : 17,131.53 = 6,965.18 : x
  2. Step 2: Convert to fraction form
    12,415.94/17,131.53 = 6,965.18/x
  3. Step 3: Cross multiply
    12,415.94x = 17,131.53 × 6,965.18
  4. Step 4: Simplify right side
    12,415.94x = 119,324,190.13
  5. Step 5: Solve for x
    x = 119,324,190.13/12,415.94
  6. Step 6: Final answer
    x = 9,610.57

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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.