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Finding the Fourth Proportional to 2,622.70, 3,933.96 and 1,762.48

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Solution

The fourth proportional to 2,622.70, 3,933.96 and 1,762.48 is: 2,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.70 : 3,933.96 = 1,762.48 : x
  2. Step 2: Convert to fraction form
    2,622.70/3,933.96 = 1,762.48/x
  3. Step 3: Cross multiply
    2,622.70x = 3,933.96 × 1,762.48
  4. Step 4: Simplify right side
    2,622.70x = 6,933,525.82
  5. Step 5: Solve for x
    x = 6,933,525.82/2,622.70
  6. Step 6: Final answer
    x = 2,643.66

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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.