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Finding the Fourth Proportional to 3,984.74, 5,495.12 and 2,638.22

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Solution

The fourth proportional to 3,984.74, 5,495.12 and 2,638.22 is: 3,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.74 : 5,495.12 = 2,638.22 : x
  2. Step 2: Convert to fraction form
    3,984.74/5,495.12 = 2,638.22/x
  3. Step 3: Cross multiply
    3,984.74x = 5,495.12 × 2,638.22
  4. Step 4: Simplify right side
    3,984.74x = 14,497,314.61
  5. Step 5: Solve for x
    x = 14,497,314.61/3,984.74
  6. Step 6: Final answer
    x = 3,638.21

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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.