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Finding the Fourth Proportional to 1,999.89, 2,996.19 and 1,307.95

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Solution

The fourth proportional to 1,999.89, 2,996.19 and 1,307.95 is: 1,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.89 : 2,996.19 = 1,307.95 : x
  2. Step 2: Convert to fraction form
    1,999.89/2,996.19 = 1,307.95/x
  3. Step 3: Cross multiply
    1,999.89x = 2,996.19 × 1,307.95
  4. Step 4: Simplify right side
    1,999.89x = 3,918,859.22
  5. Step 5: Solve for x
    x = 3,918,859.22/1,999.89
  6. Step 6: Final answer
    x = 1,959.54

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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.