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Finding the Fourth Proportional to 2,847.31, 3,928.62 and 1,728.22

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Solution

The fourth proportional to 2,847.31, 3,928.62 and 1,728.22 is: 2,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.31 : 3,928.62 = 1,728.22 : x
  2. Step 2: Convert to fraction form
    2,847.31/3,928.62 = 1,728.22/x
  3. Step 3: Cross multiply
    2,847.31x = 3,928.62 × 1,728.22
  4. Step 4: Simplify right side
    2,847.31x = 6,789,501.19
  5. Step 5: Solve for x
    x = 6,789,501.19/2,847.31
  6. Step 6: Final answer
    x = 2,384.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.