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Finding the Fourth Proportional to 13,655.52, 20,493 and 10,538.64

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Solution

The fourth proportional to 13,655.52, 20,493 and 10,538.64 is: 15,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.52 : 20,493 = 10,538.64 : x
  2. Step 2: Convert to fraction form
    13,655.52/20,493 = 10,538.64/x
  3. Step 3: Cross multiply
    13,655.52x = 20,493 × 10,538.64
  4. Step 4: Simplify right side
    13,655.52x = 215,968,349.52
  5. Step 5: Solve for x
    x = 215,968,349.52/13,655.52
  6. Step 6: Final answer
    x = 15,815.46

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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.