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Finding the Fourth Proportional to 11,364.34, 17,010.85 and 7,189.87

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Solution

The fourth proportional to 11,364.34, 17,010.85 and 7,189.87 is: 10,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.34 : 17,010.85 = 7,189.87 : x
  2. Step 2: Convert to fraction form
    11,364.34/17,010.85 = 7,189.87/x
  3. Step 3: Cross multiply
    11,364.34x = 17,010.85 × 7,189.87
  4. Step 4: Simplify right side
    11,364.34x = 122,305,800.09
  5. Step 5: Solve for x
    x = 122,305,800.09/11,364.34
  6. Step 6: Final answer
    x = 10,762.24

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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.