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Finding the Fourth Proportional to 13,642.98, 20,468.25 and 5,743.59

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Solution

The fourth proportional to 13,642.98, 20,468.25 and 5,743.59 is: 8,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.98 : 20,468.25 = 5,743.59 : x
  2. Step 2: Convert to fraction form
    13,642.98/20,468.25 = 5,743.59/x
  3. Step 3: Cross multiply
    13,642.98x = 20,468.25 × 5,743.59
  4. Step 4: Simplify right side
    13,642.98x = 117,561,236.02
  5. Step 5: Solve for x
    x = 117,561,236.02/13,642.98
  6. Step 6: Final answer
    x = 8,616.98

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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.