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Finding the Fourth Proportional to 4,813, 7,222.38 and 2,077

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Solution

The fourth proportional to 4,813, 7,222.38 and 2,077 is: 3,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813 : 7,222.38 = 2,077 : x
  2. Step 2: Convert to fraction form
    4,813/7,222.38 = 2,077/x
  3. Step 3: Cross multiply
    4,813x = 7,222.38 × 2,077
  4. Step 4: Simplify right side
    4,813x = 15,000,883.26
  5. Step 5: Solve for x
    x = 15,000,883.26/4,813
  6. Step 6: Final answer
    x = 3,116.74

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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.