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Finding the Fourth Proportional to 3,633.88, 5,447.58 and 1,683.40

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Solution

The fourth proportional to 3,633.88, 5,447.58 and 1,683.40 is: 2,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.88 : 5,447.58 = 1,683.40 : x
  2. Step 2: Convert to fraction form
    3,633.88/5,447.58 = 1,683.40/x
  3. Step 3: Cross multiply
    3,633.88x = 5,447.58 × 1,683.40
  4. Step 4: Simplify right side
    3,633.88x = 9,170,456.17
  5. Step 5: Solve for x
    x = 9,170,456.17/3,633.88
  6. Step 6: Final answer
    x = 2,523.60

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1.5x scale

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.