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Finding the Fourth Proportional to 13,847.72, 20,747.94 and 7,612.95

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Solution

The fourth proportional to 13,847.72, 20,747.94 and 7,612.95 is: 11,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.72 : 20,747.94 = 7,612.95 : x
  2. Step 2: Convert to fraction form
    13,847.72/20,747.94 = 7,612.95/x
  3. Step 3: Cross multiply
    13,847.72x = 20,747.94 × 7,612.95
  4. Step 4: Simplify right side
    13,847.72x = 157,953,029.82
  5. Step 5: Solve for x
    x = 157,953,029.82/13,847.72
  6. Step 6: Final answer
    x = 11,406.43

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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.