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Finding the Fourth Proportional to 3,362.72, 4,639.20 and 2,120

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Solution

The fourth proportional to 3,362.72, 4,639.20 and 2,120 is: 2,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.72 : 4,639.20 = 2,120 : x
  2. Step 2: Convert to fraction form
    3,362.72/4,639.20 = 2,120/x
  3. Step 3: Cross multiply
    3,362.72x = 4,639.20 × 2,120
  4. Step 4: Simplify right side
    3,362.72x = 9,835,104
  5. Step 5: Solve for x
    x = 9,835,104/3,362.72
  6. Step 6: Final answer
    x = 2,924.75

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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.