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Finding the Fourth Proportional to 13,306, 19,957.44 and 8,361.04

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Solution

The fourth proportional to 13,306, 19,957.44 and 8,361.04 is: 12,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306 : 19,957.44 = 8,361.04 : x
  2. Step 2: Convert to fraction form
    13,306/19,957.44 = 8,361.04/x
  3. Step 3: Cross multiply
    13,306x = 19,957.44 × 8,361.04
  4. Step 4: Simplify right side
    13,306x = 166,864,954.14
  5. Step 5: Solve for x
    x = 166,864,954.14/13,306
  6. Step 6: Final answer
    x = 12,540.58

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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.