Home / 5,109.84-7,664.58-1,647

Finding the Fourth Proportional to 5,109.84, 7,664.58 and 1,647

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Solution

The fourth proportional to 5,109.84, 7,664.58 and 1,647 is: 2,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.84 : 7,664.58 = 1,647 : x
  2. Step 2: Convert to fraction form
    5,109.84/7,664.58 = 1,647/x
  3. Step 3: Cross multiply
    5,109.84x = 7,664.58 × 1,647
  4. Step 4: Simplify right side
    5,109.84x = 12,623,563.26
  5. Step 5: Solve for x
    x = 12,623,563.26/5,109.84
  6. Step 6: Final answer
    x = 2,470.44

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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.