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Finding the Fourth Proportional to 2,214.96, 3,322.36 and 914.96

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Solution

The fourth proportional to 2,214.96, 3,322.36 and 914.96 is: 1,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.96 : 3,322.36 = 914.96 : x
  2. Step 2: Convert to fraction form
    2,214.96/3,322.36 = 914.96/x
  3. Step 3: Cross multiply
    2,214.96x = 3,322.36 × 914.96
  4. Step 4: Simplify right side
    2,214.96x = 3,039,826.51
  5. Step 5: Solve for x
    x = 3,039,826.51/2,214.96
  6. Step 6: Final answer
    x = 1,372.41

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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.