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Finding the Fourth Proportional to 2,143.94, 3,216.44 and 845.51

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Solution

The fourth proportional to 2,143.94, 3,216.44 and 845.51 is: 1,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.94 : 3,216.44 = 845.51 : x
  2. Step 2: Convert to fraction form
    2,143.94/3,216.44 = 845.51/x
  3. Step 3: Cross multiply
    2,143.94x = 3,216.44 × 845.51
  4. Step 4: Simplify right side
    2,143.94x = 2,719,518.22
  5. Step 5: Solve for x
    x = 2,719,518.22/2,143.94
  6. Step 6: Final answer
    x = 1,268.47

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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.