Home / 5,109.57-7,664.18-1,412.01

Finding the Fourth Proportional to 5,109.57, 7,664.18 and 1,412.01

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Solution

The fourth proportional to 5,109.57, 7,664.18 and 1,412.01 is: 2,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.57 : 7,664.18 = 1,412.01 : x
  2. Step 2: Convert to fraction form
    5,109.57/7,664.18 = 1,412.01/x
  3. Step 3: Cross multiply
    5,109.57x = 7,664.18 × 1,412.01
  4. Step 4: Simplify right side
    5,109.57x = 10,821,891.74
  5. Step 5: Solve for x
    x = 10,821,891.74/5,109.57
  6. Step 6: Final answer
    x = 2,117.97

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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.