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Finding the Fourth Proportional to 2,001.96, 2,999.70 and 1,422

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Solution

The fourth proportional to 2,001.96, 2,999.70 and 1,422 is: 2,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.96 : 2,999.70 = 1,422 : x
  2. Step 2: Convert to fraction form
    2,001.96/2,999.70 = 1,422/x
  3. Step 3: Cross multiply
    2,001.96x = 2,999.70 × 1,422
  4. Step 4: Simplify right side
    2,001.96x = 4,265,573.40
  5. Step 5: Solve for x
    x = 4,265,573.40/2,001.96
  6. Step 6: Final answer
    x = 2,130.70

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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.