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Finding the Fourth Proportional to 13,682.84, 20,509.20 and 5,361.30

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Solution

The fourth proportional to 13,682.84, 20,509.20 and 5,361.30 is: 8,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.84 : 20,509.20 = 5,361.30 : x
  2. Step 2: Convert to fraction form
    13,682.84/20,509.20 = 5,361.30/x
  3. Step 3: Cross multiply
    13,682.84x = 20,509.20 × 5,361.30
  4. Step 4: Simplify right side
    13,682.84x = 109,955,973.96
  5. Step 5: Solve for x
    x = 109,955,973.96/13,682.84
  6. Step 6: Final answer
    x = 8,036.05

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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.