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Finding the Fourth Proportional to 2,220.54, 3,330.82 and 922.01

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Solution

The fourth proportional to 2,220.54, 3,330.82 and 922.01 is: 1,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.54 : 3,330.82 = 922.01 : x
  2. Step 2: Convert to fraction form
    2,220.54/3,330.82 = 922.01/x
  3. Step 3: Cross multiply
    2,220.54x = 3,330.82 × 922.01
  4. Step 4: Simplify right side
    2,220.54x = 3,071,043.21
  5. Step 5: Solve for x
    x = 3,071,043.21/2,220.54
  6. Step 6: Final answer
    x = 1,383.02

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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.