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Finding the Fourth Proportional to 3,481.96, 4,802.32 and 3,061.42

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Solution

The fourth proportional to 3,481.96, 4,802.32 and 3,061.42 is: 4,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.96 : 4,802.32 = 3,061.42 : x
  2. Step 2: Convert to fraction form
    3,481.96/4,802.32 = 3,061.42/x
  3. Step 3: Cross multiply
    3,481.96x = 4,802.32 × 3,061.42
  4. Step 4: Simplify right side
    3,481.96x = 14,701,918.49
  5. Step 5: Solve for x
    x = 14,701,918.49/3,481.96
  6. Step 6: Final answer
    x = 4,222.31

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1.5x scale

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.