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Finding the Fourth Proportional to 20,146.81, 30,220.08 and 7,834.81

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Solution

The fourth proportional to 20,146.81, 30,220.08 and 7,834.81 is: 11,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.81 : 30,220.08 = 7,834.81 : x
  2. Step 2: Convert to fraction form
    20,146.81/30,220.08 = 7,834.81/x
  3. Step 3: Cross multiply
    20,146.81x = 30,220.08 × 7,834.81
  4. Step 4: Simplify right side
    20,146.81x = 236,768,584.98
  5. Step 5: Solve for x
    x = 236,768,584.98/20,146.81
  6. Step 6: Final answer
    x = 11,752.16

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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.