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Finding the Fourth Proportional to 3,355.16, 4,628.22 and 2,111

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Solution

The fourth proportional to 3,355.16, 4,628.22 and 2,111 is: 2,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.16 : 4,628.22 = 2,111 : x
  2. Step 2: Convert to fraction form
    3,355.16/4,628.22 = 2,111/x
  3. Step 3: Cross multiply
    3,355.16x = 4,628.22 × 2,111
  4. Step 4: Simplify right side
    3,355.16x = 9,770,172.42
  5. Step 5: Solve for x
    x = 9,770,172.42/3,355.16
  6. Step 6: Final answer
    x = 2,911.98

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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.