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Finding the Fourth Proportional to 8,954.43, 13,420.53 and 7,489.14

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Solution

The fourth proportional to 8,954.43, 13,420.53 and 7,489.14 is: 11,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.43 : 13,420.53 = 7,489.14 : x
  2. Step 2: Convert to fraction form
    8,954.43/13,420.53 = 7,489.14/x
  3. Step 3: Cross multiply
    8,954.43x = 13,420.53 × 7,489.14
  4. Step 4: Simplify right side
    8,954.43x = 100,508,228.04
  5. Step 5: Solve for x
    x = 100,508,228.04/8,954.43
  6. Step 6: Final answer
    x = 11,224.41

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Why These Related Problems?

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