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Finding the Fourth Proportional to 11,409.90, 17,090.99 and 9,176.66

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Solution

The fourth proportional to 11,409.90, 17,090.99 and 9,176.66 is: 13,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.90 : 17,090.99 = 9,176.66 : x
  2. Step 2: Convert to fraction form
    11,409.90/17,090.99 = 9,176.66/x
  3. Step 3: Cross multiply
    11,409.90x = 17,090.99 × 9,176.66
  4. Step 4: Simplify right side
    11,409.90x = 156,838,204.29
  5. Step 5: Solve for x
    x = 156,838,204.29/11,409.90
  6. Step 6: Final answer
    x = 13,745.80

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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.