Home / 8,214.34-12,321.60-2,371

Finding the Fourth Proportional to 8,214.34, 12,321.60 and 2,371

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Solution

The fourth proportional to 8,214.34, 12,321.60 and 2,371 is: 3,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.34 : 12,321.60 = 2,371 : x
  2. Step 2: Convert to fraction form
    8,214.34/12,321.60 = 2,371/x
  3. Step 3: Cross multiply
    8,214.34x = 12,321.60 × 2,371
  4. Step 4: Simplify right side
    8,214.34x = 29,214,513.60
  5. Step 5: Solve for x
    x = 29,214,513.60/8,214.34
  6. Step 6: Final answer
    x = 3,556.53

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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.