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Finding the Fourth Proportional to 2,071.25, 3,106.85 and 838.65

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Solution

The fourth proportional to 2,071.25, 3,106.85 and 838.65 is: 1,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.25 : 3,106.85 = 838.65 : x
  2. Step 2: Convert to fraction form
    2,071.25/3,106.85 = 838.65/x
  3. Step 3: Cross multiply
    2,071.25x = 3,106.85 × 838.65
  4. Step 4: Simplify right side
    2,071.25x = 2,605,559.75
  5. Step 5: Solve for x
    x = 2,605,559.75/2,071.25
  6. Step 6: Final answer
    x = 1,257.96

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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.