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Finding the Fourth Proportional to 8,214.63, 12,321.94 and 2,058.63

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Solution

The fourth proportional to 8,214.63, 12,321.94 and 2,058.63 is: 3,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.63 : 12,321.94 = 2,058.63 : x
  2. Step 2: Convert to fraction form
    8,214.63/12,321.94 = 2,058.63/x
  3. Step 3: Cross multiply
    8,214.63x = 12,321.94 × 2,058.63
  4. Step 4: Simplify right side
    8,214.63x = 25,366,315.34
  5. Step 5: Solve for x
    x = 25,366,315.34/8,214.63
  6. Step 6: Final answer
    x = 3,087.94

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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.