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Finding the Fourth Proportional to 2,538.41, 3,806.22 and 782.93

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Solution

The fourth proportional to 2,538.41, 3,806.22 and 782.93 is: 1,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.41 : 3,806.22 = 782.93 : x
  2. Step 2: Convert to fraction form
    2,538.41/3,806.22 = 782.93/x
  3. Step 3: Cross multiply
    2,538.41x = 3,806.22 × 782.93
  4. Step 4: Simplify right side
    2,538.41x = 2,979,993.61
  5. Step 5: Solve for x
    x = 2,979,993.61/2,538.41
  6. Step 6: Final answer
    x = 1,173.96

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1.5x scale

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.