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Finding the Fourth Proportional to 2,143.96, 3,215.80 and 684.16

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Solution

The fourth proportional to 2,143.96, 3,215.80 and 684.16 is: 1,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.96 : 3,215.80 = 684.16 : x
  2. Step 2: Convert to fraction form
    2,143.96/3,215.80 = 684.16/x
  3. Step 3: Cross multiply
    2,143.96x = 3,215.80 × 684.16
  4. Step 4: Simplify right side
    2,143.96x = 2,200,121.73
  5. Step 5: Solve for x
    x = 2,200,121.73/2,143.96
  6. Step 6: Final answer
    x = 1,026.20

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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.