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Finding the Fourth Proportional to 1,873.98, 2,806.07 and 1,638.68

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Solution

The fourth proportional to 1,873.98, 2,806.07 and 1,638.68 is: 2,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.98 : 2,806.07 = 1,638.68 : x
  2. Step 2: Convert to fraction form
    1,873.98/2,806.07 = 1,638.68/x
  3. Step 3: Cross multiply
    1,873.98x = 2,806.07 × 1,638.68
  4. Step 4: Simplify right side
    1,873.98x = 4,598,228.56
  5. Step 5: Solve for x
    x = 4,598,228.56/1,873.98
  6. Step 6: Final answer
    x = 2,453.72

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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.