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Finding the Fourth Proportional to 19,591.24, 27,036 and 10,638.80

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Solution

The fourth proportional to 19,591.24, 27,036 and 10,638.80 is: 14,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.24 : 27,036 = 10,638.80 : x
  2. Step 2: Convert to fraction form
    19,591.24/27,036 = 10,638.80/x
  3. Step 3: Cross multiply
    19,591.24x = 27,036 × 10,638.80
  4. Step 4: Simplify right side
    19,591.24x = 287,630,596.80
  5. Step 5: Solve for x
    x = 287,630,596.80/19,591.24
  6. Step 6: Final answer
    x = 14,681.59

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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.