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Finding the Fourth Proportional to 2,822.72, 3,894.62 and 1,704.29

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Solution

The fourth proportional to 2,822.72, 3,894.62 and 1,704.29 is: 2,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.72 : 3,894.62 = 1,704.29 : x
  2. Step 2: Convert to fraction form
    2,822.72/3,894.62 = 1,704.29/x
  3. Step 3: Cross multiply
    2,822.72x = 3,894.62 × 1,704.29
  4. Step 4: Simplify right side
    2,822.72x = 6,637,533.93
  5. Step 5: Solve for x
    x = 6,637,533.93/2,822.72
  6. Step 6: Final answer
    x = 2,351.47

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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.