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Finding the Fourth Proportional to 2,504, 3,454.32 and 1,620.08

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Solution

The fourth proportional to 2,504, 3,454.32 and 1,620.08 is: 2,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504 : 3,454.32 = 1,620.08 : x
  2. Step 2: Convert to fraction form
    2,504/3,454.32 = 1,620.08/x
  3. Step 3: Cross multiply
    2,504x = 3,454.32 × 1,620.08
  4. Step 4: Simplify right side
    2,504x = 5,596,274.75
  5. Step 5: Solve for x
    x = 5,596,274.75/2,504
  6. Step 6: Final answer
    x = 2,234.93

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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.