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Finding the Fourth Proportional to 13,408, 20,113.08 and 4,174

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Solution

The fourth proportional to 13,408, 20,113.08 and 4,174 is: 6,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 20,113.08 = 4,174 : x
  2. Step 2: Convert to fraction form
    13,408/20,113.08 = 4,174/x
  3. Step 3: Cross multiply
    13,408x = 20,113.08 × 4,174
  4. Step 4: Simplify right side
    13,408x = 83,951,995.92
  5. Step 5: Solve for x
    x = 83,951,995.92/13,408
  6. Step 6: Final answer
    x = 6,261.34

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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.