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Finding the Fourth Proportional to 3,638.57, 5,459.91 and 1,447.47

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Solution

The fourth proportional to 3,638.57, 5,459.91 and 1,447.47 is: 2,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.57 : 5,459.91 = 1,447.47 : x
  2. Step 2: Convert to fraction form
    3,638.57/5,459.91 = 1,447.47/x
  3. Step 3: Cross multiply
    3,638.57x = 5,459.91 × 1,447.47
  4. Step 4: Simplify right side
    3,638.57x = 7,903,050.50
  5. Step 5: Solve for x
    x = 7,903,050.50/3,638.57
  6. Step 6: Final answer
    x = 2,172.02

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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.