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Finding the Fourth Proportional to 11,749.38, 16,219.26 and 7,032.78

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Solution

The fourth proportional to 11,749.38, 16,219.26 and 7,032.78 is: 9,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.38 : 16,219.26 = 7,032.78 : x
  2. Step 2: Convert to fraction form
    11,749.38/16,219.26 = 7,032.78/x
  3. Step 3: Cross multiply
    11,749.38x = 16,219.26 × 7,032.78
  4. Step 4: Simplify right side
    11,749.38x = 114,066,487.34
  5. Step 5: Solve for x
    x = 114,066,487.34/11,749.38
  6. Step 6: Final answer
    x = 9,708.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.