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Finding the Fourth Proportional to 1,618.70, 2,422.15 and 1,401.88

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Solution

The fourth proportional to 1,618.70, 2,422.15 and 1,401.88 is: 2,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.70 : 2,422.15 = 1,401.88 : x
  2. Step 2: Convert to fraction form
    1,618.70/2,422.15 = 1,401.88/x
  3. Step 3: Cross multiply
    1,618.70x = 2,422.15 × 1,401.88
  4. Step 4: Simplify right side
    1,618.70x = 3,395,563.64
  5. Step 5: Solve for x
    x = 3,395,563.64/1,618.70
  6. Step 6: Final answer
    x = 2,097.71

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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.