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Finding the Fourth Proportional to 2,062.50, 3,086 and 1,447.41

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Solution

The fourth proportional to 2,062.50, 3,086 and 1,447.41 is: 2,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.50 : 3,086 = 1,447.41 : x
  2. Step 2: Convert to fraction form
    2,062.50/3,086 = 1,447.41/x
  3. Step 3: Cross multiply
    2,062.50x = 3,086 × 1,447.41
  4. Step 4: Simplify right side
    2,062.50x = 4,466,707.26
  5. Step 5: Solve for x
    x = 4,466,707.26/2,062.50
  6. Step 6: Final answer
    x = 2,165.68

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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.