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Finding the Fourth Proportional to 3,774.47, 5,661.77 and 1,309.37

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Solution

The fourth proportional to 3,774.47, 5,661.77 and 1,309.37 is: 1,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.47 : 5,661.77 = 1,309.37 : x
  2. Step 2: Convert to fraction form
    3,774.47/5,661.77 = 1,309.37/x
  3. Step 3: Cross multiply
    3,774.47x = 5,661.77 × 1,309.37
  4. Step 4: Simplify right side
    3,774.47x = 7,413,316.93
  5. Step 5: Solve for x
    x = 7,413,316.93/3,774.47
  6. Step 6: Final answer
    x = 1,964.07

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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.