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Finding the Fourth Proportional to 13,505.49, 20,255.00 and 4,271.49

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Solution

The fourth proportional to 13,505.49, 20,255.00 and 4,271.49 is: 6,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.49 : 20,255.00 = 4,271.49 : x
  2. Step 2: Convert to fraction form
    13,505.49/20,255.00 = 4,271.49/x
  3. Step 3: Cross multiply
    13,505.49x = 20,255.00 × 4,271.49
  4. Step 4: Simplify right side
    13,505.49x = 86,519,008.59
  5. Step 5: Solve for x
    x = 86,519,008.59/13,505.49
  6. Step 6: Final answer
    x = 6,406.21

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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.