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Finding the Fourth Proportional to 2,857.83, 3,942.62 and 1,738.61

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Solution

The fourth proportional to 2,857.83, 3,942.62 and 1,738.61 is: 2,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.83 : 3,942.62 = 1,738.61 : x
  2. Step 2: Convert to fraction form
    2,857.83/3,942.62 = 1,738.61/x
  3. Step 3: Cross multiply
    2,857.83x = 3,942.62 × 1,738.61
  4. Step 4: Simplify right side
    2,857.83x = 6,854,703.41
  5. Step 5: Solve for x
    x = 6,854,703.41/2,857.83
  6. Step 6: Final answer
    x = 2,398.57

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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.