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Finding the Fourth Proportional to 3,780.86, 5,664.80 and 3,050.78

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Solution

The fourth proportional to 3,780.86, 5,664.80 and 3,050.78 is: 4,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.86 : 5,664.80 = 3,050.78 : x
  2. Step 2: Convert to fraction form
    3,780.86/5,664.80 = 3,050.78/x
  3. Step 3: Cross multiply
    3,780.86x = 5,664.80 × 3,050.78
  4. Step 4: Simplify right side
    3,780.86x = 17,282,058.54
  5. Step 5: Solve for x
    x = 17,282,058.54/3,780.86
  6. Step 6: Final answer
    x = 4,570.93

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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.