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Finding the Fourth Proportional to 5,270.98, 7,890.07 and 3,319.09

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Solution

The fourth proportional to 5,270.98, 7,890.07 and 3,319.09 is: 4,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.98 : 7,890.07 = 3,319.09 : x
  2. Step 2: Convert to fraction form
    5,270.98/7,890.07 = 3,319.09/x
  3. Step 3: Cross multiply
    5,270.98x = 7,890.07 × 3,319.09
  4. Step 4: Simplify right side
    5,270.98x = 26,187,817.13
  5. Step 5: Solve for x
    x = 26,187,817.13/5,270.98
  6. Step 6: Final answer
    x = 4,968.30

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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.