Home / 5,109.75-7,664.63-1,647

Finding the Fourth Proportional to 5,109.75, 7,664.63 and 1,647

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Solution

The fourth proportional to 5,109.75, 7,664.63 and 1,647 is: 2,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.75 : 7,664.63 = 1,647 : x
  2. Step 2: Convert to fraction form
    5,109.75/7,664.63 = 1,647/x
  3. Step 3: Cross multiply
    5,109.75x = 7,664.63 × 1,647
  4. Step 4: Simplify right side
    5,109.75x = 12,623,637.38
  5. Step 5: Solve for x
    x = 12,623,637.38/5,109.75
  6. Step 6: Final answer
    x = 2,470.50

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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.