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Finding the Fourth Proportional to 13,539.44, 20,253 and 12,710

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Solution

The fourth proportional to 13,539.44, 20,253 and 12,710 is: 19,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.44 : 20,253 = 12,710 : x
  2. Step 2: Convert to fraction form
    13,539.44/20,253 = 12,710/x
  3. Step 3: Cross multiply
    13,539.44x = 20,253 × 12,710
  4. Step 4: Simplify right side
    13,539.44x = 257,415,630
  5. Step 5: Solve for x
    x = 257,415,630/13,539.44
  6. Step 6: Final answer
    x = 19,012.28

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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.