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Finding the Fourth Proportional to 13,967.64, 20,923.52 and 8,404.16

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Solution

The fourth proportional to 13,967.64, 20,923.52 and 8,404.16 is: 12,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.64 : 20,923.52 = 8,404.16 : x
  2. Step 2: Convert to fraction form
    13,967.64/20,923.52 = 8,404.16/x
  3. Step 3: Cross multiply
    13,967.64x = 20,923.52 × 8,404.16
  4. Step 4: Simplify right side
    13,967.64x = 175,844,463.20
  5. Step 5: Solve for x
    x = 175,844,463.20/13,967.64
  6. Step 6: Final answer
    x = 12,589.42

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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.