Home / 1,327.68-1,987.74-1,106.28

Finding the Fourth Proportional to 1,327.68, 1,987.74 and 1,106.28

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Solution

The fourth proportional to 1,327.68, 1,987.74 and 1,106.28 is: 1,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.68 : 1,987.74 = 1,106.28 : x
  2. Step 2: Convert to fraction form
    1,327.68/1,987.74 = 1,106.28/x
  3. Step 3: Cross multiply
    1,327.68x = 1,987.74 × 1,106.28
  4. Step 4: Simplify right side
    1,327.68x = 2,198,997.01
  5. Step 5: Solve for x
    x = 2,198,997.01/1,327.68
  6. Step 6: Final answer
    x = 1,656.27

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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.