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Finding the Fourth Proportional to 3,762.79, 5,638.61 and 2,514.78

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Solution

The fourth proportional to 3,762.79, 5,638.61 and 2,514.78 is: 3,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.79 : 5,638.61 = 2,514.78 : x
  2. Step 2: Convert to fraction form
    3,762.79/5,638.61 = 2,514.78/x
  3. Step 3: Cross multiply
    3,762.79x = 5,638.61 × 2,514.78
  4. Step 4: Simplify right side
    3,762.79x = 14,179,869.94
  5. Step 5: Solve for x
    x = 14,179,869.94/3,762.79
  6. Step 6: Final answer
    x = 3,768.45

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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.