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Finding the Fourth Proportional to 1,999.08, 2,755.62 and 1,960.20

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Solution

The fourth proportional to 1,999.08, 2,755.62 and 1,960.20 is: 2,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.08 : 2,755.62 = 1,960.20 : x
  2. Step 2: Convert to fraction form
    1,999.08/2,755.62 = 1,960.20/x
  3. Step 3: Cross multiply
    1,999.08x = 2,755.62 × 1,960.20
  4. Step 4: Simplify right side
    1,999.08x = 5,401,566.32
  5. Step 5: Solve for x
    x = 5,401,566.32/1,999.08
  6. Step 6: Final answer
    x = 2,702.03

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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.