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Finding the Fourth Proportional to 3,029.87, 4,544.30 and 838.82

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Solution

The fourth proportional to 3,029.87, 4,544.30 and 838.82 is: 1,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.87 : 4,544.30 = 838.82 : x
  2. Step 2: Convert to fraction form
    3,029.87/4,544.30 = 838.82/x
  3. Step 3: Cross multiply
    3,029.87x = 4,544.30 × 838.82
  4. Step 4: Simplify right side
    3,029.87x = 3,811,863.18
  5. Step 5: Solve for x
    x = 3,811,863.18/3,029.87
  6. Step 6: Final answer
    x = 1,258.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.