Home / 2,538.43-3,806.63-977.57

Finding the Fourth Proportional to 2,538.43, 3,806.63 and 977.57

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Solution

The fourth proportional to 2,538.43, 3,806.63 and 977.57 is: 1,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.43 : 3,806.63 = 977.57 : x
  2. Step 2: Convert to fraction form
    2,538.43/3,806.63 = 977.57/x
  3. Step 3: Cross multiply
    2,538.43x = 3,806.63 × 977.57
  4. Step 4: Simplify right side
    2,538.43x = 3,721,245.43
  5. Step 5: Solve for x
    x = 3,721,245.43/2,538.43
  6. Step 6: Final answer
    x = 1,465.97

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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.