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Finding the Fourth Proportional to 3,857.19, 5,784.86 and 1,775.90

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Solution

The fourth proportional to 3,857.19, 5,784.86 and 1,775.90 is: 2,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.19 : 5,784.86 = 1,775.90 : x
  2. Step 2: Convert to fraction form
    3,857.19/5,784.86 = 1,775.90/x
  3. Step 3: Cross multiply
    3,857.19x = 5,784.86 × 1,775.90
  4. Step 4: Simplify right side
    3,857.19x = 10,273,295.07
  5. Step 5: Solve for x
    x = 10,273,295.07/3,857.19
  6. Step 6: Final answer
    x = 2,663.41

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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.