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Finding the Fourth Proportional to 13,400.64, 18,485.28 and 8,424

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Solution

The fourth proportional to 13,400.64, 18,485.28 and 8,424 is: 11,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.64 : 18,485.28 = 8,424 : x
  2. Step 2: Convert to fraction form
    13,400.64/18,485.28 = 8,424/x
  3. Step 3: Cross multiply
    13,400.64x = 18,485.28 × 8,424
  4. Step 4: Simplify right side
    13,400.64x = 155,719,998.72
  5. Step 5: Solve for x
    x = 155,719,998.72/13,400.64
  6. Step 6: Final answer
    x = 11,620.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.