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Finding the Fourth Proportional to 5,100.92, 7,651.88 and 1,813.25

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Solution

The fourth proportional to 5,100.92, 7,651.88 and 1,813.25 is: 2,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.92 : 7,651.88 = 1,813.25 : x
  2. Step 2: Convert to fraction form
    5,100.92/7,651.88 = 1,813.25/x
  3. Step 3: Cross multiply
    5,100.92x = 7,651.88 × 1,813.25
  4. Step 4: Simplify right side
    5,100.92x = 13,874,771.41
  5. Step 5: Solve for x
    x = 13,874,771.41/5,100.92
  6. Step 6: Final answer
    x = 2,720.05

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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.