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Finding the Fourth Proportional to 13,505.20, 20,256.64 and 3,644.40

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Solution

The fourth proportional to 13,505.20, 20,256.64 and 3,644.40 is: 5,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.20 : 20,256.64 = 3,644.40 : x
  2. Step 2: Convert to fraction form
    13,505.20/20,256.64 = 3,644.40/x
  3. Step 3: Cross multiply
    13,505.20x = 20,256.64 × 3,644.40
  4. Step 4: Simplify right side
    13,505.20x = 73,823,298.82
  5. Step 5: Solve for x
    x = 73,823,298.82/13,505.20
  6. Step 6: Final answer
    x = 5,466.29

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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.