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Finding the Fourth Proportional to 34,170, 51,284.16 and 13,408.08

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Solution

The fourth proportional to 34,170, 51,284.16 and 13,408.08 is: 20,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170 : 51,284.16 = 13,408.08 : x
  2. Step 2: Convert to fraction form
    34,170/51,284.16 = 13,408.08/x
  3. Step 3: Cross multiply
    34,170x = 51,284.16 × 13,408.08
  4. Step 4: Simplify right side
    34,170x = 687,622,120.01
  5. Step 5: Solve for x
    x = 687,622,120.01/34,170
  6. Step 6: Final answer
    x = 20,123.56

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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.