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Finding the Fourth Proportional to 6,071.79, 9,107.67 and 1,912.15

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Solution

The fourth proportional to 6,071.79, 9,107.67 and 1,912.15 is: 2,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.79 : 9,107.67 = 1,912.15 : x
  2. Step 2: Convert to fraction form
    6,071.79/9,107.67 = 1,912.15/x
  3. Step 3: Cross multiply
    6,071.79x = 9,107.67 × 1,912.15
  4. Step 4: Simplify right side
    6,071.79x = 17,415,185.65
  5. Step 5: Solve for x
    x = 17,415,185.65/6,071.79
  6. Step 6: Final answer
    x = 2,868.21

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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.