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Finding the Fourth Proportional to 2,762.34, 3,807.57 and 2,163.81

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Solution

The fourth proportional to 2,762.34, 3,807.57 and 2,163.81 is: 2,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.34 : 3,807.57 = 2,163.81 : x
  2. Step 2: Convert to fraction form
    2,762.34/3,807.57 = 2,163.81/x
  3. Step 3: Cross multiply
    2,762.34x = 3,807.57 × 2,163.81
  4. Step 4: Simplify right side
    2,762.34x = 8,238,858.04
  5. Step 5: Solve for x
    x = 8,238,858.04/2,762.34
  6. Step 6: Final answer
    x = 2,982.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.