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Finding the Fourth Proportional to 2,762.83, 3,810.81 and 1,766.40

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Solution

The fourth proportional to 2,762.83, 3,810.81 and 1,766.40 is: 2,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.83 : 3,810.81 = 1,766.40 : x
  2. Step 2: Convert to fraction form
    2,762.83/3,810.81 = 1,766.40/x
  3. Step 3: Cross multiply
    2,762.83x = 3,810.81 × 1,766.40
  4. Step 4: Simplify right side
    2,762.83x = 6,731,414.78
  5. Step 5: Solve for x
    x = 6,731,414.78/2,762.83
  6. Step 6: Final answer
    x = 2,436.42

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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.