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Finding the Fourth Proportional to 3,228.13, 4,842.10 and 919.63

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Solution

The fourth proportional to 3,228.13, 4,842.10 and 919.63 is: 1,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.13 : 4,842.10 = 919.63 : x
  2. Step 2: Convert to fraction form
    3,228.13/4,842.10 = 919.63/x
  3. Step 3: Cross multiply
    3,228.13x = 4,842.10 × 919.63
  4. Step 4: Simplify right side
    3,228.13x = 4,452,940.42
  5. Step 5: Solve for x
    x = 4,452,940.42/3,228.13
  6. Step 6: Final answer
    x = 1,379.42

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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.