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Finding the Fourth Proportional to 2,827.55, 3,900.07 and 1,990.01

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Solution

The fourth proportional to 2,827.55, 3,900.07 and 1,990.01 is: 2,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.55 : 3,900.07 = 1,990.01 : x
  2. Step 2: Convert to fraction form
    2,827.55/3,900.07 = 1,990.01/x
  3. Step 3: Cross multiply
    2,827.55x = 3,900.07 × 1,990.01
  4. Step 4: Simplify right side
    2,827.55x = 7,761,178.30
  5. Step 5: Solve for x
    x = 7,761,178.30/2,827.55
  6. Step 6: Final answer
    x = 2,744.84

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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.