Home / 1,523.80-2,101.37-1,287.75

Finding the Fourth Proportional to 1,523.80, 2,101.37 and 1,287.75

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Solution

The fourth proportional to 1,523.80, 2,101.37 and 1,287.75 is: 1,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.80 : 2,101.37 = 1,287.75 : x
  2. Step 2: Convert to fraction form
    1,523.80/2,101.37 = 1,287.75/x
  3. Step 3: Cross multiply
    1,523.80x = 2,101.37 × 1,287.75
  4. Step 4: Simplify right side
    1,523.80x = 2,706,039.22
  5. Step 5: Solve for x
    x = 2,706,039.22/1,523.80
  6. Step 6: Final answer
    x = 1,775.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.