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Finding the Fourth Proportional to 2,138.99, 3,208.23 and 578.90

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Solution

The fourth proportional to 2,138.99, 3,208.23 and 578.90 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.99 : 3,208.23 = 578.90 : x
  2. Step 2: Convert to fraction form
    2,138.99/3,208.23 = 578.90/x
  3. Step 3: Cross multiply
    2,138.99x = 3,208.23 × 578.90
  4. Step 4: Simplify right side
    2,138.99x = 1,857,235.95
  5. Step 5: Solve for x
    x = 1,857,235.95/2,138.99
  6. Step 6: Final answer
    x = 868.28

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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.