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Finding the Fourth Proportional to 2,813, 4,216.09 and 2,117.44

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Solution

The fourth proportional to 2,813, 4,216.09 and 2,117.44 is: 3,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813 : 4,216.09 = 2,117.44 : x
  2. Step 2: Convert to fraction form
    2,813/4,216.09 = 2,117.44/x
  3. Step 3: Cross multiply
    2,813x = 4,216.09 × 2,117.44
  4. Step 4: Simplify right side
    2,813x = 8,927,317.61
  5. Step 5: Solve for x
    x = 8,927,317.61/2,813
  6. Step 6: Final answer
    x = 3,173.59

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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.