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Finding the Fourth Proportional to 3,412.91, 4,709.74 and 1,900.46

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Solution

The fourth proportional to 3,412.91, 4,709.74 and 1,900.46 is: 2,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.91 : 4,709.74 = 1,900.46 : x
  2. Step 2: Convert to fraction form
    3,412.91/4,709.74 = 1,900.46/x
  3. Step 3: Cross multiply
    3,412.91x = 4,709.74 × 1,900.46
  4. Step 4: Simplify right side
    3,412.91x = 8,950,639.43
  5. Step 5: Solve for x
    x = 8,950,639.43/3,412.91
  6. Step 6: Final answer
    x = 2,622.59

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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.