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Finding the Fourth Proportional to 11,894.81, 17,842.37 and 5,655.43

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Solution

The fourth proportional to 11,894.81, 17,842.37 and 5,655.43 is: 8,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.81 : 17,842.37 = 5,655.43 : x
  2. Step 2: Convert to fraction form
    11,894.81/17,842.37 = 5,655.43/x
  3. Step 3: Cross multiply
    11,894.81x = 17,842.37 × 5,655.43
  4. Step 4: Simplify right side
    11,894.81x = 100,906,201.69
  5. Step 5: Solve for x
    x = 100,906,201.69/11,894.81
  6. Step 6: Final answer
    x = 8,483.21

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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.