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Finding the Fourth Proportional to 5,889.30, 8,828.46 and 1,990.98

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Solution

The fourth proportional to 5,889.30, 8,828.46 and 1,990.98 is: 2,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.30 : 8,828.46 = 1,990.98 : x
  2. Step 2: Convert to fraction form
    5,889.30/8,828.46 = 1,990.98/x
  3. Step 3: Cross multiply
    5,889.30x = 8,828.46 × 1,990.98
  4. Step 4: Simplify right side
    5,889.30x = 17,577,287.29
  5. Step 5: Solve for x
    x = 17,577,287.29/5,889.30
  6. Step 6: Final answer
    x = 2,984.61

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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.