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Finding the Fourth Proportional to 3,778.63, 5,666.92 and 2,389.88

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Solution

The fourth proportional to 3,778.63, 5,666.92 and 2,389.88 is: 3,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.63 : 5,666.92 = 2,389.88 : x
  2. Step 2: Convert to fraction form
    3,778.63/5,666.92 = 2,389.88/x
  3. Step 3: Cross multiply
    3,778.63x = 5,666.92 × 2,389.88
  4. Step 4: Simplify right side
    3,778.63x = 13,543,258.77
  5. Step 5: Solve for x
    x = 13,543,258.77/3,778.63
  6. Step 6: Final answer
    x = 3,584.17

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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.