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Finding the Fourth Proportional to 13,648.61, 20,472.11 and 8,029.44

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Solution

The fourth proportional to 13,648.61, 20,472.11 and 8,029.44 is: 12,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.61 : 20,472.11 = 8,029.44 : x
  2. Step 2: Convert to fraction form
    13,648.61/20,472.11 = 8,029.44/x
  3. Step 3: Cross multiply
    13,648.61x = 20,472.11 × 8,029.44
  4. Step 4: Simplify right side
    13,648.61x = 164,379,538.77
  5. Step 5: Solve for x
    x = 164,379,538.77/13,648.61
  6. Step 6: Final answer
    x = 12,043.68

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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.