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Finding the Fourth Proportional to 2,091, 2,891.04 and 1,999.20

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Solution

The fourth proportional to 2,091, 2,891.04 and 1,999.20 is: 2,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 2,891.04 = 1,999.20 : x
  2. Step 2: Convert to fraction form
    2,091/2,891.04 = 1,999.20/x
  3. Step 3: Cross multiply
    2,091x = 2,891.04 × 1,999.20
  4. Step 4: Simplify right side
    2,091x = 5,779,767.17
  5. Step 5: Solve for x
    x = 5,779,767.17/2,091
  6. Step 6: Final answer
    x = 2,764.12

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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.