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Finding the Fourth Proportional to 3,775.77, 5,661.60 and 1,310.39

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Solution

The fourth proportional to 3,775.77, 5,661.60 and 1,310.39 is: 1,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.77 : 5,661.60 = 1,310.39 : x
  2. Step 2: Convert to fraction form
    3,775.77/5,661.60 = 1,310.39/x
  3. Step 3: Cross multiply
    3,775.77x = 5,661.60 × 1,310.39
  4. Step 4: Simplify right side
    3,775.77x = 7,418,875.72
  5. Step 5: Solve for x
    x = 7,418,875.72/3,775.77
  6. Step 6: Final answer
    x = 1,964.86

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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.