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Finding the Fourth Proportional to 3,496.96, 4,824.12 and 2,172.21

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Solution

The fourth proportional to 3,496.96, 4,824.12 and 2,172.21 is: 2,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.96 : 4,824.12 = 2,172.21 : x
  2. Step 2: Convert to fraction form
    3,496.96/4,824.12 = 2,172.21/x
  3. Step 3: Cross multiply
    3,496.96x = 4,824.12 × 2,172.21
  4. Step 4: Simplify right side
    3,496.96x = 10,479,001.71
  5. Step 5: Solve for x
    x = 10,479,001.71/3,496.96
  6. Step 6: Final answer
    x = 2,996.60

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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.