Home / 5,109.63-7,664.26-1,412.07

Finding the Fourth Proportional to 5,109.63, 7,664.26 and 1,412.07

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Solution

The fourth proportional to 5,109.63, 7,664.26 and 1,412.07 is: 2,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.63 : 7,664.26 = 1,412.07 : x
  2. Step 2: Convert to fraction form
    5,109.63/7,664.26 = 1,412.07/x
  3. Step 3: Cross multiply
    5,109.63x = 7,664.26 × 1,412.07
  4. Step 4: Simplify right side
    5,109.63x = 10,822,471.62
  5. Step 5: Solve for x
    x = 10,822,471.62/5,109.63
  6. Step 6: Final answer
    x = 2,118.05

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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.