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Finding the Fourth Proportional to 2,553.90, 3,522.90 and 1,609.32

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Solution

The fourth proportional to 2,553.90, 3,522.90 and 1,609.32 is: 2,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.90 : 3,522.90 = 1,609.32 : x
  2. Step 2: Convert to fraction form
    2,553.90/3,522.90 = 1,609.32/x
  3. Step 3: Cross multiply
    2,553.90x = 3,522.90 × 1,609.32
  4. Step 4: Simplify right side
    2,553.90x = 5,669,473.43
  5. Step 5: Solve for x
    x = 5,669,473.43/2,553.90
  6. Step 6: Final answer
    x = 2,219.93

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1.5x scale

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.