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Finding the Fourth Proportional to 3,220.65, 4,822.34 and 1,920.33

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Solution

The fourth proportional to 3,220.65, 4,822.34 and 1,920.33 is: 2,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.65 : 4,822.34 = 1,920.33 : x
  2. Step 2: Convert to fraction form
    3,220.65/4,822.34 = 1,920.33/x
  3. Step 3: Cross multiply
    3,220.65x = 4,822.34 × 1,920.33
  4. Step 4: Simplify right side
    3,220.65x = 9,260,474.57
  5. Step 5: Solve for x
    x = 9,260,474.57/3,220.65
  6. Step 6: Final answer
    x = 2,875.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.