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Finding the Fourth Proportional to 3,228.84, 4,456.47 and 1,903

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Solution

The fourth proportional to 3,228.84, 4,456.47 and 1,903 is: 2,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.84 : 4,456.47 = 1,903 : x
  2. Step 2: Convert to fraction form
    3,228.84/4,456.47 = 1,903/x
  3. Step 3: Cross multiply
    3,228.84x = 4,456.47 × 1,903
  4. Step 4: Simplify right side
    3,228.84x = 8,480,662.41
  5. Step 5: Solve for x
    x = 8,480,662.41/3,228.84
  6. Step 6: Final answer
    x = 2,626.54

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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.