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Finding the Fourth Proportional to 2,102.78, 3,154.26 and 622.01

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Solution

The fourth proportional to 2,102.78, 3,154.26 and 622.01 is: 933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.78 : 3,154.26 = 622.01 : x
  2. Step 2: Convert to fraction form
    2,102.78/3,154.26 = 622.01/x
  3. Step 3: Cross multiply
    2,102.78x = 3,154.26 × 622.01
  4. Step 4: Simplify right side
    2,102.78x = 1,961,965.49
  5. Step 5: Solve for x
    x = 1,961,965.49/2,102.78
  6. Step 6: Final answer
    x = 933.04

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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.