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Finding the Fourth Proportional to 8,419.20, 12,628.16 and 3,487.68

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Solution

The fourth proportional to 8,419.20, 12,628.16 and 3,487.68 is: 5,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.20 : 12,628.16 = 3,487.68 : x
  2. Step 2: Convert to fraction form
    8,419.20/12,628.16 = 3,487.68/x
  3. Step 3: Cross multiply
    8,419.20x = 12,628.16 × 3,487.68
  4. Step 4: Simplify right side
    8,419.20x = 44,042,981.07
  5. Step 5: Solve for x
    x = 44,042,981.07/8,419.20
  6. Step 6: Final answer
    x = 5,231.25

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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.