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Finding the Fourth Proportional to 2,564.96, 3,847.29 and 716.18

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Solution

The fourth proportional to 2,564.96, 3,847.29 and 716.18 is: 1,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,847.29 = 716.18 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,847.29 = 716.18/x
  3. Step 3: Cross multiply
    2,564.96x = 3,847.29 × 716.18
  4. Step 4: Simplify right side
    2,564.96x = 2,755,352.15
  5. Step 5: Solve for x
    x = 2,755,352.15/2,564.96
  6. Step 6: Final answer
    x = 1,074.23

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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.