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Finding the Fourth Proportional to 15,138.70, 20,821.86 and 12,147.98

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Solution

The fourth proportional to 15,138.70, 20,821.86 and 12,147.98 is: 16,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.70 : 20,821.86 = 12,147.98 : x
  2. Step 2: Convert to fraction form
    15,138.70/20,821.86 = 12,147.98/x
  3. Step 3: Cross multiply
    15,138.70x = 20,821.86 × 12,147.98
  4. Step 4: Simplify right side
    15,138.70x = 252,943,434.73
  5. Step 5: Solve for x
    x = 252,943,434.73/15,138.70
  6. Step 6: Final answer
    x = 16,708.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.