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Finding the Fourth Proportional to 14,419, 21,630.84 and 5,649.16

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Solution

The fourth proportional to 14,419, 21,630.84 and 5,649.16 is: 8,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 21,630.84 = 5,649.16 : x
  2. Step 2: Convert to fraction form
    14,419/21,630.84 = 5,649.16/x
  3. Step 3: Cross multiply
    14,419x = 21,630.84 × 5,649.16
  4. Step 4: Simplify right side
    14,419x = 122,196,076.09
  5. Step 5: Solve for x
    x = 122,196,076.09/14,419
  6. Step 6: Final answer
    x = 8,474.66

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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.