Home / 3,538.77-5,305.19-1,564.08

Finding the Fourth Proportional to 3,538.77, 5,305.19 and 1,564.08

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Solution

The fourth proportional to 3,538.77, 5,305.19 and 1,564.08 is: 2,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.77 : 5,305.19 = 1,564.08 : x
  2. Step 2: Convert to fraction form
    3,538.77/5,305.19 = 1,564.08/x
  3. Step 3: Cross multiply
    3,538.77x = 5,305.19 × 1,564.08
  4. Step 4: Simplify right side
    3,538.77x = 8,297,733.75
  5. Step 5: Solve for x
    x = 8,297,733.75/3,538.77
  6. Step 6: Final answer
    x = 2,344.81

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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.