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Finding the Fourth Proportional to 2,143.76, 3,213.81 and 846.14

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Solution

The fourth proportional to 2,143.76, 3,213.81 and 846.14 is: 1,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.76 : 3,213.81 = 846.14 : x
  2. Step 2: Convert to fraction form
    2,143.76/3,213.81 = 846.14/x
  3. Step 3: Cross multiply
    2,143.76x = 3,213.81 × 846.14
  4. Step 4: Simplify right side
    2,143.76x = 2,719,317.12
  5. Step 5: Solve for x
    x = 2,719,317.12/2,143.76
  6. Step 6: Final answer
    x = 1,268.48

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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.