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Finding the Fourth Proportional to 5,202.69, 7,807.11 and 1,918.09

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Solution

The fourth proportional to 5,202.69, 7,807.11 and 1,918.09 is: 2,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.69 : 7,807.11 = 1,918.09 : x
  2. Step 2: Convert to fraction form
    5,202.69/7,807.11 = 1,918.09/x
  3. Step 3: Cross multiply
    5,202.69x = 7,807.11 × 1,918.09
  4. Step 4: Simplify right side
    5,202.69x = 14,974,739.62
  5. Step 5: Solve for x
    x = 14,974,739.62/5,202.69
  6. Step 6: Final answer
    x = 2,878.27

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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.