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Finding the Fourth Proportional to 1,999.98, 2,981.43 and 1,968.39

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Solution

The fourth proportional to 1,999.98, 2,981.43 and 1,968.39 is: 2,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.98 : 2,981.43 = 1,968.39 : x
  2. Step 2: Convert to fraction form
    1,999.98/2,981.43 = 1,968.39/x
  3. Step 3: Cross multiply
    1,999.98x = 2,981.43 × 1,968.39
  4. Step 4: Simplify right side
    1,999.98x = 5,868,617.00
  5. Step 5: Solve for x
    x = 5,868,617.00/1,999.98
  6. Step 6: Final answer
    x = 2,934.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.