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Finding the Fourth Proportional to 4,091.40, 6,138 and 1,899

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Solution

The fourth proportional to 4,091.40, 6,138 and 1,899 is: 2,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.40 : 6,138 = 1,899 : x
  2. Step 2: Convert to fraction form
    4,091.40/6,138 = 1,899/x
  3. Step 3: Cross multiply
    4,091.40x = 6,138 × 1,899
  4. Step 4: Simplify right side
    4,091.40x = 11,656,062
  5. Step 5: Solve for x
    x = 11,656,062/4,091.40
  6. Step 6: Final answer
    x = 2,848.92

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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.