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Finding the Fourth Proportional to 5,200.25, 7,795.74 and 1,912.55

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Solution

The fourth proportional to 5,200.25, 7,795.74 and 1,912.55 is: 2,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.25 : 7,795.74 = 1,912.55 : x
  2. Step 2: Convert to fraction form
    5,200.25/7,795.74 = 1,912.55/x
  3. Step 3: Cross multiply
    5,200.25x = 7,795.74 × 1,912.55
  4. Step 4: Simplify right side
    5,200.25x = 14,909,742.54
  5. Step 5: Solve for x
    x = 14,909,742.54/5,200.25
  6. Step 6: Final answer
    x = 2,867.12

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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.