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Finding the Fourth Proportional to 27,748.32, 41,595.60 and 13,855.20

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Solution

The fourth proportional to 27,748.32, 41,595.60 and 13,855.20 is: 20,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748.32 : 41,595.60 = 13,855.20 : x
  2. Step 2: Convert to fraction form
    27,748.32/41,595.60 = 13,855.20/x
  3. Step 3: Cross multiply
    27,748.32x = 41,595.60 × 13,855.20
  4. Step 4: Simplify right side
    27,748.32x = 576,315,357.12
  5. Step 5: Solve for x
    x = 576,315,357.12/27,748.32
  6. Step 6: Final answer
    x = 20,769.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.