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Finding the Fourth Proportional to 5,232.40, 7,852.20 and 3,772.78

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Solution

The fourth proportional to 5,232.40, 7,852.20 and 3,772.78 is: 5,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.40 : 7,852.20 = 3,772.78 : x
  2. Step 2: Convert to fraction form
    5,232.40/7,852.20 = 3,772.78/x
  3. Step 3: Cross multiply
    5,232.40x = 7,852.20 × 3,772.78
  4. Step 4: Simplify right side
    5,232.40x = 29,624,623.12
  5. Step 5: Solve for x
    x = 29,624,623.12/5,232.40
  6. Step 6: Final answer
    x = 5,661.77

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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.