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Finding the Fourth Proportional to 2,143.94, 3,216.98 and 846.32

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Solution

The fourth proportional to 2,143.94, 3,216.98 and 846.32 is: 1,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.94 : 3,216.98 = 846.32 : x
  2. Step 2: Convert to fraction form
    2,143.94/3,216.98 = 846.32/x
  3. Step 3: Cross multiply
    2,143.94x = 3,216.98 × 846.32
  4. Step 4: Simplify right side
    2,143.94x = 2,722,580.54
  5. Step 5: Solve for x
    x = 2,722,580.54/2,143.94
  6. Step 6: Final answer
    x = 1,269.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.