Home / 5,109.68-7,664.68-1,647.28

Finding the Fourth Proportional to 5,109.68, 7,664.68 and 1,647.28

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Solution

The fourth proportional to 5,109.68, 7,664.68 and 1,647.28 is: 2,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.68 : 7,664.68 = 1,647.28 : x
  2. Step 2: Convert to fraction form
    5,109.68/7,664.68 = 1,647.28/x
  3. Step 3: Cross multiply
    5,109.68x = 7,664.68 × 1,647.28
  4. Step 4: Simplify right side
    5,109.68x = 12,625,874.07
  5. Step 5: Solve for x
    x = 12,625,874.07/5,109.68
  6. Step 6: Final answer
    x = 2,470.97

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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.