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Finding the Fourth Proportional to 1,987.58, 2,744.19 and 1,777.08

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Solution

The fourth proportional to 1,987.58, 2,744.19 and 1,777.08 is: 2,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.58 : 2,744.19 = 1,777.08 : x
  2. Step 2: Convert to fraction form
    1,987.58/2,744.19 = 1,777.08/x
  3. Step 3: Cross multiply
    1,987.58x = 2,744.19 × 1,777.08
  4. Step 4: Simplify right side
    1,987.58x = 4,876,645.17
  5. Step 5: Solve for x
    x = 4,876,645.17/1,987.58
  6. Step 6: Final answer
    x = 2,453.57

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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.