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Finding the Fourth Proportional to 3,776.33, 5,661.47 and 1,309.88

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Solution

The fourth proportional to 3,776.33, 5,661.47 and 1,309.88 is: 1,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.33 : 5,661.47 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    3,776.33/5,661.47 = 1,309.88/x
  3. Step 3: Cross multiply
    3,776.33x = 5,661.47 × 1,309.88
  4. Step 4: Simplify right side
    3,776.33x = 7,415,846.32
  5. Step 5: Solve for x
    x = 7,415,846.32/3,776.33
  6. Step 6: Final answer
    x = 1,963.77

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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.