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Finding the Fourth Proportional to 13,936.84, 20,905.32 and 4,709.32

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Solution

The fourth proportional to 13,936.84, 20,905.32 and 4,709.32 is: 7,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.84 : 20,905.32 = 4,709.32 : x
  2. Step 2: Convert to fraction form
    13,936.84/20,905.32 = 4,709.32/x
  3. Step 3: Cross multiply
    13,936.84x = 20,905.32 × 4,709.32
  4. Step 4: Simplify right side
    13,936.84x = 98,449,841.58
  5. Step 5: Solve for x
    x = 98,449,841.58/13,936.84
  6. Step 6: Final answer
    x = 7,064.00

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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.