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Finding the Fourth Proportional to 1,986.22, 2,980.12 and 1,824.76

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Solution

The fourth proportional to 1,986.22, 2,980.12 and 1,824.76 is: 2,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.22 : 2,980.12 = 1,824.76 : x
  2. Step 2: Convert to fraction form
    1,986.22/2,980.12 = 1,824.76/x
  3. Step 3: Cross multiply
    1,986.22x = 2,980.12 × 1,824.76
  4. Step 4: Simplify right side
    1,986.22x = 5,438,003.77
  5. Step 5: Solve for x
    x = 5,438,003.77/1,986.22
  6. Step 6: Final answer
    x = 2,737.87

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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.