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Finding the Fourth Proportional to 13,734, 20,604.96 and 7,894.80

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Solution

The fourth proportional to 13,734, 20,604.96 and 7,894.80 is: 11,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 20,604.96 = 7,894.80 : x
  2. Step 2: Convert to fraction form
    13,734/20,604.96 = 7,894.80/x
  3. Step 3: Cross multiply
    13,734x = 20,604.96 × 7,894.80
  4. Step 4: Simplify right side
    13,734x = 162,672,038.21
  5. Step 5: Solve for x
    x = 162,672,038.21/13,734
  6. Step 6: Final answer
    x = 11,844.48

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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.