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Finding the Fourth Proportional to 5,206.98, 7,807.00 and 2,868.09

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Solution

The fourth proportional to 5,206.98, 7,807.00 and 2,868.09 is: 4,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.98 : 7,807.00 = 2,868.09 : x
  2. Step 2: Convert to fraction form
    5,206.98/7,807.00 = 2,868.09/x
  3. Step 3: Cross multiply
    5,206.98x = 7,807.00 × 2,868.09
  4. Step 4: Simplify right side
    5,206.98x = 22,391,147.56
  5. Step 5: Solve for x
    x = 22,391,147.56/5,206.98
  6. Step 6: Final answer
    x = 4,300.22

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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.