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Finding the Fourth Proportional to 1,997.71, 2,998.14 and 1,385.72

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Solution

The fourth proportional to 1,997.71, 2,998.14 and 1,385.72 is: 2,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.71 : 2,998.14 = 1,385.72 : x
  2. Step 2: Convert to fraction form
    1,997.71/2,998.14 = 1,385.72/x
  3. Step 3: Cross multiply
    1,997.71x = 2,998.14 × 1,385.72
  4. Step 4: Simplify right side
    1,997.71x = 4,154,584.86
  5. Step 5: Solve for x
    x = 4,154,584.86/1,997.71
  6. Step 6: Final answer
    x = 2,079.67

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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.