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Finding the Fourth Proportional to 13,730.79, 20,596.20 and 7,169.79

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Solution

The fourth proportional to 13,730.79, 20,596.20 and 7,169.79 is: 10,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.79 : 20,596.20 = 7,169.79 : x
  2. Step 2: Convert to fraction form
    13,730.79/20,596.20 = 7,169.79/x
  3. Step 3: Cross multiply
    13,730.79x = 20,596.20 × 7,169.79
  4. Step 4: Simplify right side
    13,730.79x = 147,670,428.80
  5. Step 5: Solve for x
    x = 147,670,428.80/13,730.79
  6. Step 6: Final answer
    x = 10,754.69

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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.