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Finding the Fourth Proportional to 3,893.57, 5,372.96 and 2,214.74

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Solution

The fourth proportional to 3,893.57, 5,372.96 and 2,214.74 is: 3,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.57 : 5,372.96 = 2,214.74 : x
  2. Step 2: Convert to fraction form
    3,893.57/5,372.96 = 2,214.74/x
  3. Step 3: Cross multiply
    3,893.57x = 5,372.96 × 2,214.74
  4. Step 4: Simplify right side
    3,893.57x = 11,899,703.89
  5. Step 5: Solve for x
    x = 11,899,703.89/3,893.57
  6. Step 6: Final answer
    x = 3,056.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.