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Finding the Fourth Proportional to 9,203.20, 13,806.60 and 3,938.20

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Solution

The fourth proportional to 9,203.20, 13,806.60 and 3,938.20 is: 5,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.20 : 13,806.60 = 3,938.20 : x
  2. Step 2: Convert to fraction form
    9,203.20/13,806.60 = 3,938.20/x
  3. Step 3: Cross multiply
    9,203.20x = 13,806.60 × 3,938.20
  4. Step 4: Simplify right side
    9,203.20x = 54,373,152.12
  5. Step 5: Solve for x
    x = 54,373,152.12/9,203.20
  6. Step 6: Final answer
    x = 5,908.07

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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.