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Finding the Fourth Proportional to 13,453.78, 20,173.08 and 6,435.49

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Solution

The fourth proportional to 13,453.78, 20,173.08 and 6,435.49 is: 9,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.78 : 20,173.08 = 6,435.49 : x
  2. Step 2: Convert to fraction form
    13,453.78/20,173.08 = 6,435.49/x
  3. Step 3: Cross multiply
    13,453.78x = 20,173.08 × 6,435.49
  4. Step 4: Simplify right side
    13,453.78x = 129,823,654.61
  5. Step 5: Solve for x
    x = 129,823,654.61/13,453.78
  6. Step 6: Final answer
    x = 9,649.60

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1.5x scale

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.