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Finding the Fourth Proportional to 13,906.64, 20,857.20 and 6,509.12

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Solution

The fourth proportional to 13,906.64, 20,857.20 and 6,509.12 is: 9,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.64 : 20,857.20 = 6,509.12 : x
  2. Step 2: Convert to fraction form
    13,906.64/20,857.20 = 6,509.12/x
  3. Step 3: Cross multiply
    13,906.64x = 20,857.20 × 6,509.12
  4. Step 4: Simplify right side
    13,906.64x = 135,761,913.38
  5. Step 5: Solve for x
    x = 135,761,913.38/13,906.64
  6. Step 6: Final answer
    x = 9,762.38

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1.5x scale

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.