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Finding the Fourth Proportional to 13,504.56, 20,256.72 and 4,270.56

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Solution

The fourth proportional to 13,504.56, 20,256.72 and 4,270.56 is: 6,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.56 : 20,256.72 = 4,270.56 : x
  2. Step 2: Convert to fraction form
    13,504.56/20,256.72 = 4,270.56/x
  3. Step 3: Cross multiply
    13,504.56x = 20,256.72 × 4,270.56
  4. Step 4: Simplify right side
    13,504.56x = 86,507,538.16
  5. Step 5: Solve for x
    x = 86,507,538.16/13,504.56
  6. Step 6: Final answer
    x = 6,405.80

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Why These Related Problems?

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