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Finding the Fourth Proportional to 1,814.10, 2,717.10 and 1,401.90

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Solution

The fourth proportional to 1,814.10, 2,717.10 and 1,401.90 is: 2,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.10 : 2,717.10 = 1,401.90 : x
  2. Step 2: Convert to fraction form
    1,814.10/2,717.10 = 1,401.90/x
  3. Step 3: Cross multiply
    1,814.10x = 2,717.10 × 1,401.90
  4. Step 4: Simplify right side
    1,814.10x = 3,809,102.49
  5. Step 5: Solve for x
    x = 3,809,102.49/1,814.10
  6. Step 6: Final answer
    x = 2,099.72

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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.