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Finding the Fourth Proportional to 13,649.24, 20,473.74 and 4,415.24

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Solution

The fourth proportional to 13,649.24, 20,473.74 and 4,415.24 is: 6,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.24 : 20,473.74 = 4,415.24 : x
  2. Step 2: Convert to fraction form
    13,649.24/20,473.74 = 4,415.24/x
  3. Step 3: Cross multiply
    13,649.24x = 20,473.74 × 4,415.24
  4. Step 4: Simplify right side
    13,649.24x = 90,396,475.80
  5. Step 5: Solve for x
    x = 90,396,475.80/13,649.24
  6. Step 6: Final answer
    x = 6,622.82

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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.