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Finding the Fourth Proportional to 11,355, 17,032.28 and 5,110.61

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Solution

The fourth proportional to 11,355, 17,032.28 and 5,110.61 is: 7,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355 : 17,032.28 = 5,110.61 : x
  2. Step 2: Convert to fraction form
    11,355/17,032.28 = 5,110.61/x
  3. Step 3: Cross multiply
    11,355x = 17,032.28 × 5,110.61
  4. Step 4: Simplify right side
    11,355x = 87,045,340.49
  5. Step 5: Solve for x
    x = 87,045,340.49/11,355
  6. Step 6: Final answer
    x = 7,665.82

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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.