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Finding the Fourth Proportional to 3,780.63, 5,669.92 and 2,391.88

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Solution

The fourth proportional to 3,780.63, 5,669.92 and 2,391.88 is: 3,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.63 : 5,669.92 = 2,391.88 : x
  2. Step 2: Convert to fraction form
    3,780.63/5,669.92 = 2,391.88/x
  3. Step 3: Cross multiply
    3,780.63x = 5,669.92 × 2,391.88
  4. Step 4: Simplify right side
    3,780.63x = 13,561,768.25
  5. Step 5: Solve for x
    x = 13,561,768.25/3,780.63
  6. Step 6: Final answer
    x = 3,587.17

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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.