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Finding the Fourth Proportional to 1,998.96, 2,762.36 and 1,500.74

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Solution

The fourth proportional to 1,998.96, 2,762.36 and 1,500.74 is: 2,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.96 : 2,762.36 = 1,500.74 : x
  2. Step 2: Convert to fraction form
    1,998.96/2,762.36 = 1,500.74/x
  3. Step 3: Cross multiply
    1,998.96x = 2,762.36 × 1,500.74
  4. Step 4: Simplify right side
    1,998.96x = 4,145,584.15
  5. Step 5: Solve for x
    x = 4,145,584.15/1,998.96
  6. Step 6: Final answer
    x = 2,073.87

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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.