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Finding the Fourth Proportional to 13,648.58, 20,472.90 and 4,160.98

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Solution

The fourth proportional to 13,648.58, 20,472.90 and 4,160.98 is: 6,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.58 : 20,472.90 = 4,160.98 : x
  2. Step 2: Convert to fraction form
    13,648.58/20,472.90 = 4,160.98/x
  3. Step 3: Cross multiply
    13,648.58x = 20,472.90 × 4,160.98
  4. Step 4: Simplify right side
    13,648.58x = 85,187,327.44
  5. Step 5: Solve for x
    x = 85,187,327.44/13,648.58
  6. Step 6: Final answer
    x = 6,241.48

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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.