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Finding the Fourth Proportional to 6,094, 9,141.72 and 1,990

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Solution

The fourth proportional to 6,094, 9,141.72 and 1,990 is: 2,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094 : 9,141.72 = 1,990 : x
  2. Step 2: Convert to fraction form
    6,094/9,141.72 = 1,990/x
  3. Step 3: Cross multiply
    6,094x = 9,141.72 × 1,990
  4. Step 4: Simplify right side
    6,094x = 18,192,022.80
  5. Step 5: Solve for x
    x = 18,192,022.80/6,094
  6. Step 6: Final answer
    x = 2,985.24

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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.