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Finding the Fourth Proportional to 1,999.41, 2,759.95 and 1,572.94

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Solution

The fourth proportional to 1,999.41, 2,759.95 and 1,572.94 is: 2,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.41 : 2,759.95 = 1,572.94 : x
  2. Step 2: Convert to fraction form
    1,999.41/2,759.95 = 1,572.94/x
  3. Step 3: Cross multiply
    1,999.41x = 2,759.95 × 1,572.94
  4. Step 4: Simplify right side
    1,999.41x = 4,341,221.95
  5. Step 5: Solve for x
    x = 4,341,221.95/1,999.41
  6. Step 6: Final answer
    x = 2,171.25

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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.