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Finding the Fourth Proportional to 2,913.22, 4,361.52 and 2,729.29

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Solution

The fourth proportional to 2,913.22, 4,361.52 and 2,729.29 is: 4,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.22 : 4,361.52 = 2,729.29 : x
  2. Step 2: Convert to fraction form
    2,913.22/4,361.52 = 2,729.29/x
  3. Step 3: Cross multiply
    2,913.22x = 4,361.52 × 2,729.29
  4. Step 4: Simplify right side
    2,913.22x = 11,903,852.92
  5. Step 5: Solve for x
    x = 11,903,852.92/2,913.22
  6. Step 6: Final answer
    x = 4,086.15

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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.