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Finding the Fourth Proportional to 3,505.80, 4,823.10 and 3,408.60

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Solution

The fourth proportional to 3,505.80, 4,823.10 and 3,408.60 is: 4,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.80 : 4,823.10 = 3,408.60 : x
  2. Step 2: Convert to fraction form
    3,505.80/4,823.10 = 3,408.60/x
  3. Step 3: Cross multiply
    3,505.80x = 4,823.10 × 3,408.60
  4. Step 4: Simplify right side
    3,505.80x = 16,440,018.66
  5. Step 5: Solve for x
    x = 16,440,018.66/3,505.80
  6. Step 6: Final answer
    x = 4,689.38

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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.