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Finding the Fourth Proportional to 5,077, 7,615.50 and 1,999

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Solution

The fourth proportional to 5,077, 7,615.50 and 1,999 is: 2,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077 : 7,615.50 = 1,999 : x
  2. Step 2: Convert to fraction form
    5,077/7,615.50 = 1,999/x
  3. Step 3: Cross multiply
    5,077x = 7,615.50 × 1,999
  4. Step 4: Simplify right side
    5,077x = 15,223,384.50
  5. Step 5: Solve for x
    x = 15,223,384.50/5,077
  6. Step 6: Final answer
    x = 2,998.50

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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.