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Finding the Fourth Proportional to 15,493.43, 21,381.06 and 8,419.85

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Solution

The fourth proportional to 15,493.43, 21,381.06 and 8,419.85 is: 11,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.43 : 21,381.06 = 8,419.85 : x
  2. Step 2: Convert to fraction form
    15,493.43/21,381.06 = 8,419.85/x
  3. Step 3: Cross multiply
    15,493.43x = 21,381.06 × 8,419.85
  4. Step 4: Simplify right side
    15,493.43x = 180,025,318.04
  5. Step 5: Solve for x
    x = 180,025,318.04/15,493.43
  6. Step 6: Final answer
    x = 11,619.46

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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.