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Finding the Fourth Proportional to 8,538.26, 12,807.99 and 2,993.00

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Solution

The fourth proportional to 8,538.26, 12,807.99 and 2,993.00 is: 4,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.26 : 12,807.99 = 2,993.00 : x
  2. Step 2: Convert to fraction form
    8,538.26/12,807.99 = 2,993.00/x
  3. Step 3: Cross multiply
    8,538.26x = 12,807.99 × 2,993.00
  4. Step 4: Simplify right side
    8,538.26x = 38,334,250.03
  5. Step 5: Solve for x
    x = 38,334,250.03/8,538.26
  6. Step 6: Final answer
    x = 4,489.71

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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.