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Finding the Fourth Proportional to 2,145.72, 3,219.20 and 684.99

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Solution

The fourth proportional to 2,145.72, 3,219.20 and 684.99 is: 1,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.72 : 3,219.20 = 684.99 : x
  2. Step 2: Convert to fraction form
    2,145.72/3,219.20 = 684.99/x
  3. Step 3: Cross multiply
    2,145.72x = 3,219.20 × 684.99
  4. Step 4: Simplify right side
    2,145.72x = 2,205,118.95
  5. Step 5: Solve for x
    x = 2,205,118.95/2,145.72
  6. Step 6: Final answer
    x = 1,027.68

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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.