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Finding the Fourth Proportional to 9,209.53, 13,805.35 and 3,945.92

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Solution

The fourth proportional to 9,209.53, 13,805.35 and 3,945.92 is: 5,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.53 : 13,805.35 = 3,945.92 : x
  2. Step 2: Convert to fraction form
    9,209.53/13,805.35 = 3,945.92/x
  3. Step 3: Cross multiply
    9,209.53x = 13,805.35 × 3,945.92
  4. Step 4: Simplify right side
    9,209.53x = 54,474,749.98
  5. Step 5: Solve for x
    x = 54,474,749.98/9,209.53
  6. Step 6: Final answer
    x = 5,915.04

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1.5x scale

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.