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Finding the Fourth Proportional to 2,762.93, 3,810.96 and 1,767.78

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Solution

The fourth proportional to 2,762.93, 3,810.96 and 1,767.78 is: 2,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.93 : 3,810.96 = 1,767.78 : x
  2. Step 2: Convert to fraction form
    2,762.93/3,810.96 = 1,767.78/x
  3. Step 3: Cross multiply
    2,762.93x = 3,810.96 × 1,767.78
  4. Step 4: Simplify right side
    2,762.93x = 6,736,938.87
  5. Step 5: Solve for x
    x = 6,736,938.87/2,762.93
  6. Step 6: Final answer
    x = 2,438.33

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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.