Home / 5,107.98-7,664.40-2,509.50

Finding the Fourth Proportional to 5,107.98, 7,664.40 and 2,509.50

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Solution

The fourth proportional to 5,107.98, 7,664.40 and 2,509.50 is: 3,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.98 : 7,664.40 = 2,509.50 : x
  2. Step 2: Convert to fraction form
    5,107.98/7,664.40 = 2,509.50/x
  3. Step 3: Cross multiply
    5,107.98x = 7,664.40 × 2,509.50
  4. Step 4: Simplify right side
    5,107.98x = 19,233,811.80
  5. Step 5: Solve for x
    x = 19,233,811.80/5,107.98
  6. Step 6: Final answer
    x = 3,765.44

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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.