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Finding the Fourth Proportional to 11,392, 17,088 and 3,601.12

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Solution

The fourth proportional to 11,392, 17,088 and 3,601.12 is: 5,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392 : 17,088 = 3,601.12 : x
  2. Step 2: Convert to fraction form
    11,392/17,088 = 3,601.12/x
  3. Step 3: Cross multiply
    11,392x = 17,088 × 3,601.12
  4. Step 4: Simplify right side
    11,392x = 61,535,938.56
  5. Step 5: Solve for x
    x = 61,535,938.56/11,392
  6. Step 6: Final answer
    x = 5,401.68

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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.