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Finding the Fourth Proportional to 2,008.78, 3,013.46 and 622.23

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Solution

The fourth proportional to 2,008.78, 3,013.46 and 622.23 is: 933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.78 : 3,013.46 = 622.23 : x
  2. Step 2: Convert to fraction form
    2,008.78/3,013.46 = 622.23/x
  3. Step 3: Cross multiply
    2,008.78x = 3,013.46 × 622.23
  4. Step 4: Simplify right side
    2,008.78x = 1,875,065.22
  5. Step 5: Solve for x
    x = 1,875,065.22/2,008.78
  6. Step 6: Final answer
    x = 933.43

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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.