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Finding the Fourth Proportional to 20,188.32, 27,855.60 and 12,732

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Solution

The fourth proportional to 20,188.32, 27,855.60 and 12,732 is: 17,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.32 : 27,855.60 = 12,732 : x
  2. Step 2: Convert to fraction form
    20,188.32/27,855.60 = 12,732/x
  3. Step 3: Cross multiply
    20,188.32x = 27,855.60 × 12,732
  4. Step 4: Simplify right side
    20,188.32x = 354,657,499.20
  5. Step 5: Solve for x
    x = 354,657,499.20/20,188.32
  6. Step 6: Final answer
    x = 17,567.46

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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.