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Finding the Fourth Proportional to 13,492.69, 20,221.09 and 7,166.22

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Solution

The fourth proportional to 13,492.69, 20,221.09 and 7,166.22 is: 10,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.69 : 20,221.09 = 7,166.22 : x
  2. Step 2: Convert to fraction form
    13,492.69/20,221.09 = 7,166.22/x
  3. Step 3: Cross multiply
    13,492.69x = 20,221.09 × 7,166.22
  4. Step 4: Simplify right side
    13,492.69x = 144,908,839.89
  5. Step 5: Solve for x
    x = 144,908,839.89/13,492.69
  6. Step 6: Final answer
    x = 10,739.80

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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.