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Finding the Fourth Proportional to 14,648.31, 20,216.12 and 8,361.63

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Solution

The fourth proportional to 14,648.31, 20,216.12 and 8,361.63 is: 11,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.31 : 20,216.12 = 8,361.63 : x
  2. Step 2: Convert to fraction form
    14,648.31/20,216.12 = 8,361.63/x
  3. Step 3: Cross multiply
    14,648.31x = 20,216.12 × 8,361.63
  4. Step 4: Simplify right side
    14,648.31x = 169,039,715.48
  5. Step 5: Solve for x
    x = 169,039,715.48/14,648.31
  6. Step 6: Final answer
    x = 11,539.88

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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.