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Finding the Fourth Proportional to 3,669.68, 5,064.14 and 1,991.08

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Solution

The fourth proportional to 3,669.68, 5,064.14 and 1,991.08 is: 2,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.68 : 5,064.14 = 1,991.08 : x
  2. Step 2: Convert to fraction form
    3,669.68/5,064.14 = 1,991.08/x
  3. Step 3: Cross multiply
    3,669.68x = 5,064.14 × 1,991.08
  4. Step 4: Simplify right side
    3,669.68x = 10,083,107.87
  5. Step 5: Solve for x
    x = 10,083,107.87/3,669.68
  6. Step 6: Final answer
    x = 2,747.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.