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Finding the Fourth Proportional to 3,643.58, 5,028.12 and 1,987.58

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Solution

The fourth proportional to 3,643.58, 5,028.12 and 1,987.58 is: 2,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.58 : 5,028.12 = 1,987.58 : x
  2. Step 2: Convert to fraction form
    3,643.58/5,028.12 = 1,987.58/x
  3. Step 3: Cross multiply
    3,643.58x = 5,028.12 × 1,987.58
  4. Step 4: Simplify right side
    3,643.58x = 9,993,790.75
  5. Step 5: Solve for x
    x = 9,993,790.75/3,643.58
  6. Step 6: Final answer
    x = 2,742.85

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1.5x scale

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.