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Finding the Fourth Proportional to 9,209.80, 13,787.34 and 5,912.92

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Solution

The fourth proportional to 9,209.80, 13,787.34 and 5,912.92 is: 8,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.80 : 13,787.34 = 5,912.92 : x
  2. Step 2: Convert to fraction form
    9,209.80/13,787.34 = 5,912.92/x
  3. Step 3: Cross multiply
    9,209.80x = 13,787.34 × 5,912.92
  4. Step 4: Simplify right side
    9,209.80x = 81,523,438.43
  5. Step 5: Solve for x
    x = 81,523,438.43/9,209.80
  6. Step 6: Final answer
    x = 8,851.81

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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.