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Finding the Fourth Proportional to 13,688.64, 20,529.18 and 3,827.16

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Solution

The fourth proportional to 13,688.64, 20,529.18 and 3,827.16 is: 5,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.64 : 20,529.18 = 3,827.16 : x
  2. Step 2: Convert to fraction form
    13,688.64/20,529.18 = 3,827.16/x
  3. Step 3: Cross multiply
    13,688.64x = 20,529.18 × 3,827.16
  4. Step 4: Simplify right side
    13,688.64x = 78,568,456.53
  5. Step 5: Solve for x
    x = 78,568,456.53/13,688.64
  6. Step 6: Final answer
    x = 5,739.68

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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.