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Finding the Fourth Proportional to 4,997, 7,495.86 and 1,919

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Solution

The fourth proportional to 4,997, 7,495.86 and 1,919 is: 2,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997 : 7,495.86 = 1,919 : x
  2. Step 2: Convert to fraction form
    4,997/7,495.86 = 1,919/x
  3. Step 3: Cross multiply
    4,997x = 7,495.86 × 1,919
  4. Step 4: Simplify right side
    4,997x = 14,384,555.34
  5. Step 5: Solve for x
    x = 14,384,555.34/4,997
  6. Step 6: Final answer
    x = 2,878.64

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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.