Home / 5,109.62-7,664.49-1,822.91

Finding the Fourth Proportional to 5,109.62, 7,664.49 and 1,822.91

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Solution

The fourth proportional to 5,109.62, 7,664.49 and 1,822.91 is: 2,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.62 : 7,664.49 = 1,822.91 : x
  2. Step 2: Convert to fraction form
    5,109.62/7,664.49 = 1,822.91/x
  3. Step 3: Cross multiply
    5,109.62x = 7,664.49 × 1,822.91
  4. Step 4: Simplify right side
    5,109.62x = 13,971,637.14
  5. Step 5: Solve for x
    x = 13,971,637.14/5,109.62
  6. Step 6: Final answer
    x = 2,734.38

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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.