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Finding the Fourth Proportional to 11,402.78, 17,108.42 and 6,969.54

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Solution

The fourth proportional to 11,402.78, 17,108.42 and 6,969.54 is: 10,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.78 : 17,108.42 = 6,969.54 : x
  2. Step 2: Convert to fraction form
    11,402.78/17,108.42 = 6,969.54/x
  3. Step 3: Cross multiply
    11,402.78x = 17,108.42 × 6,969.54
  4. Step 4: Simplify right side
    11,402.78x = 119,237,846.84
  5. Step 5: Solve for x
    x = 119,237,846.84/11,402.78
  6. Step 6: Final answer
    x = 10,456.91

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1.5x scale

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.