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Finding the Fourth Proportional to 2,897.21, 4,361.47 and 2,638.87

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Solution

The fourth proportional to 2,897.21, 4,361.47 and 2,638.87 is: 3,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.21 : 4,361.47 = 2,638.87 : x
  2. Step 2: Convert to fraction form
    2,897.21/4,361.47 = 2,638.87/x
  3. Step 3: Cross multiply
    2,897.21x = 4,361.47 × 2,638.87
  4. Step 4: Simplify right side
    2,897.21x = 11,509,336.13
  5. Step 5: Solve for x
    x = 11,509,336.13/2,897.21
  6. Step 6: Final answer
    x = 3,972.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.