Home / 2,538.21-3,807-1,077.71

Finding the Fourth Proportional to 2,538.21, 3,807 and 1,077.71

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Solution

The fourth proportional to 2,538.21, 3,807 and 1,077.71 is: 1,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.21 : 3,807 = 1,077.71 : x
  2. Step 2: Convert to fraction form
    2,538.21/3,807 = 1,077.71/x
  3. Step 3: Cross multiply
    2,538.21x = 3,807 × 1,077.71
  4. Step 4: Simplify right side
    2,538.21x = 4,102,841.97
  5. Step 5: Solve for x
    x = 4,102,841.97/2,538.21
  6. Step 6: Final answer
    x = 1,616.43

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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.