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Finding the Fourth Proportional to 11,415.75, 15,763.75 and 7,174.16

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Solution

The fourth proportional to 11,415.75, 15,763.75 and 7,174.16 is: 9,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.75 : 15,763.75 = 7,174.16 : x
  2. Step 2: Convert to fraction form
    11,415.75/15,763.75 = 7,174.16/x
  3. Step 3: Cross multiply
    11,415.75x = 15,763.75 × 7,174.16
  4. Step 4: Simplify right side
    11,415.75x = 113,091,634.26
  5. Step 5: Solve for x
    x = 113,091,634.26/11,415.75
  6. Step 6: Final answer
    x = 9,906.63

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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.