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Finding the Fourth Proportional to 25,568.40, 38,361.72 and 9,997.20

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Solution

The fourth proportional to 25,568.40, 38,361.72 and 9,997.20 is: 14,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.40 : 38,361.72 = 9,997.20 : x
  2. Step 2: Convert to fraction form
    25,568.40/38,361.72 = 9,997.20/x
  3. Step 3: Cross multiply
    25,568.40x = 38,361.72 × 9,997.20
  4. Step 4: Simplify right side
    25,568.40x = 383,509,787.18
  5. Step 5: Solve for x
    x = 383,509,787.18/25,568.40
  6. Step 6: Final answer
    x = 14,999.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.