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Finding the Fourth Proportional to 3,429.71, 4,733.03 and 1,857.80

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Solution

The fourth proportional to 3,429.71, 4,733.03 and 1,857.80 is: 2,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.71 : 4,733.03 = 1,857.80 : x
  2. Step 2: Convert to fraction form
    3,429.71/4,733.03 = 1,857.80/x
  3. Step 3: Cross multiply
    3,429.71x = 4,733.03 × 1,857.80
  4. Step 4: Simplify right side
    3,429.71x = 8,793,025.68
  5. Step 5: Solve for x
    x = 8,793,025.68/3,429.71
  6. Step 6: Final answer
    x = 2,563.78

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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.