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Finding the Fourth Proportional to 13,649.63, 20,475.03 and 4,765.85

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Solution

The fourth proportional to 13,649.63, 20,475.03 and 4,765.85 is: 7,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.63 : 20,475.03 = 4,765.85 : x
  2. Step 2: Convert to fraction form
    13,649.63/20,475.03 = 4,765.85/x
  3. Step 3: Cross multiply
    13,649.63x = 20,475.03 × 4,765.85
  4. Step 4: Simplify right side
    13,649.63x = 97,580,819.35
  5. Step 5: Solve for x
    x = 97,580,819.35/13,649.63
  6. Step 6: Final answer
    x = 7,148.97

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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.