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Finding the Fourth Proportional to 11,489.72, 17,235 and 4,091.46

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Solution

The fourth proportional to 11,489.72, 17,235 and 4,091.46 is: 6,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.72 : 17,235 = 4,091.46 : x
  2. Step 2: Convert to fraction form
    11,489.72/17,235 = 4,091.46/x
  3. Step 3: Cross multiply
    11,489.72x = 17,235 × 4,091.46
  4. Step 4: Simplify right side
    11,489.72x = 70,516,313.10
  5. Step 5: Solve for x
    x = 70,516,313.10/11,489.72
  6. Step 6: Final answer
    x = 6,137.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.