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Finding the Fourth Proportional to 11,410.70, 17,092.80 and 9,309.80

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Solution

The fourth proportional to 11,410.70, 17,092.80 and 9,309.80 is: 13,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.70 : 17,092.80 = 9,309.80 : x
  2. Step 2: Convert to fraction form
    11,410.70/17,092.80 = 9,309.80/x
  3. Step 3: Cross multiply
    11,410.70x = 17,092.80 × 9,309.80
  4. Step 4: Simplify right side
    11,410.70x = 159,130,592.17
  5. Step 5: Solve for x
    x = 159,130,592.17/11,410.70
  6. Step 6: Final answer
    x = 13,945.74

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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.