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Finding the Fourth Proportional to 2,143.53, 3,214.61 and 682.34

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Solution

The fourth proportional to 2,143.53, 3,214.61 and 682.34 is: 1,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.53 : 3,214.61 = 682.34 : x
  2. Step 2: Convert to fraction form
    2,143.53/3,214.61 = 682.34/x
  3. Step 3: Cross multiply
    2,143.53x = 3,214.61 × 682.34
  4. Step 4: Simplify right side
    2,143.53x = 2,193,437.50
  5. Step 5: Solve for x
    x = 2,193,437.50/2,143.53
  6. Step 6: Final answer
    x = 1,023.28

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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.