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Finding the Fourth Proportional to 2,143.17, 3,214.55 and 682.07

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Solution

The fourth proportional to 2,143.17, 3,214.55 and 682.07 is: 1,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.17 : 3,214.55 = 682.07 : x
  2. Step 2: Convert to fraction form
    2,143.17/3,214.55 = 682.07/x
  3. Step 3: Cross multiply
    2,143.17x = 3,214.55 × 682.07
  4. Step 4: Simplify right side
    2,143.17x = 2,192,533.75
  5. Step 5: Solve for x
    x = 2,192,533.75/2,143.17
  6. Step 6: Final answer
    x = 1,023.03

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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.