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Finding the Fourth Proportional to 2,451.70, 3,670.35 and 2,163.70

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Solution

The fourth proportional to 2,451.70, 3,670.35 and 2,163.70 is: 3,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.70 : 3,670.35 = 2,163.70 : x
  2. Step 2: Convert to fraction form
    2,451.70/3,670.35 = 2,163.70/x
  3. Step 3: Cross multiply
    2,451.70x = 3,670.35 × 2,163.70
  4. Step 4: Simplify right side
    2,451.70x = 7,941,536.30
  5. Step 5: Solve for x
    x = 7,941,536.30/2,451.70
  6. Step 6: Final answer
    x = 3,239.20

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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.