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Finding the Fourth Proportional to 7,532.75, 10,395.20 and 4,220.75

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Solution

The fourth proportional to 7,532.75, 10,395.20 and 4,220.75 is: 5,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.75 : 10,395.20 = 4,220.75 : x
  2. Step 2: Convert to fraction form
    7,532.75/10,395.20 = 4,220.75/x
  3. Step 3: Cross multiply
    7,532.75x = 10,395.20 × 4,220.75
  4. Step 4: Simplify right side
    7,532.75x = 43,875,540.40
  5. Step 5: Solve for x
    x = 43,875,540.40/7,532.75
  6. Step 6: Final answer
    x = 5,824.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.