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Finding the Fourth Proportional to 2,762.64, 3,810.65 and 1,965.87

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Solution

The fourth proportional to 2,762.64, 3,810.65 and 1,965.87 is: 2,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.64 : 3,810.65 = 1,965.87 : x
  2. Step 2: Convert to fraction form
    2,762.64/3,810.65 = 1,965.87/x
  3. Step 3: Cross multiply
    2,762.64x = 3,810.65 × 1,965.87
  4. Step 4: Simplify right side
    2,762.64x = 7,491,232.69
  5. Step 5: Solve for x
    x = 7,491,232.69/2,762.64
  6. Step 6: Final answer
    x = 2,711.62

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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.