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Finding the Fourth Proportional to 2,762.94, 4,145.01 and 1,377.03

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Solution

The fourth proportional to 2,762.94, 4,145.01 and 1,377.03 is: 2,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.94 : 4,145.01 = 1,377.03 : x
  2. Step 2: Convert to fraction form
    2,762.94/4,145.01 = 1,377.03/x
  3. Step 3: Cross multiply
    2,762.94x = 4,145.01 × 1,377.03
  4. Step 4: Simplify right side
    2,762.94x = 5,707,803.12
  5. Step 5: Solve for x
    x = 5,707,803.12/2,762.94
  6. Step 6: Final answer
    x = 2,065.84

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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.