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Finding the Fourth Proportional to 13,731.20, 20,602.74 and 5,835.45

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Solution

The fourth proportional to 13,731.20, 20,602.74 and 5,835.45 is: 8,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.20 : 20,602.74 = 5,835.45 : x
  2. Step 2: Convert to fraction form
    13,731.20/20,602.74 = 5,835.45/x
  3. Step 3: Cross multiply
    13,731.20x = 20,602.74 × 5,835.45
  4. Step 4: Simplify right side
    13,731.20x = 120,226,146.55
  5. Step 5: Solve for x
    x = 120,226,146.55/13,731.20
  6. Step 6: Final answer
    x = 8,755.69

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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.