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Finding the Fourth Proportional to 2,143.48, 3,214.54 and 682.29

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Solution

The fourth proportional to 2,143.48, 3,214.54 and 682.29 is: 1,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.48 : 3,214.54 = 682.29 : x
  2. Step 2: Convert to fraction form
    2,143.48/3,214.54 = 682.29/x
  3. Step 3: Cross multiply
    2,143.48x = 3,214.54 × 682.29
  4. Step 4: Simplify right side
    2,143.48x = 2,193,245.51
  5. Step 5: Solve for x
    x = 2,193,245.51/2,143.48
  6. Step 6: Final answer
    x = 1,023.22

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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.