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Finding the Fourth Proportional to 13,393.84, 20,074.50 and 9,640.84

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Solution

The fourth proportional to 13,393.84, 20,074.50 and 9,640.84 is: 14,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.84 : 20,074.50 = 9,640.84 : x
  2. Step 2: Convert to fraction form
    13,393.84/20,074.50 = 9,640.84/x
  3. Step 3: Cross multiply
    13,393.84x = 20,074.50 × 9,640.84
  4. Step 4: Simplify right side
    13,393.84x = 193,535,042.58
  5. Step 5: Solve for x
    x = 193,535,042.58/13,393.84
  6. Step 6: Final answer
    x = 14,449.56

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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.