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Finding the Fourth Proportional to 2,762.81, 4,144.21 and 815.03

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Solution

The fourth proportional to 2,762.81, 4,144.21 and 815.03 is: 1,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.81 : 4,144.21 = 815.03 : x
  2. Step 2: Convert to fraction form
    2,762.81/4,144.21 = 815.03/x
  3. Step 3: Cross multiply
    2,762.81x = 4,144.21 × 815.03
  4. Step 4: Simplify right side
    2,762.81x = 3,377,655.48
  5. Step 5: Solve for x
    x = 3,377,655.48/2,762.81
  6. Step 6: Final answer
    x = 1,222.54

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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.