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Finding the Fourth Proportional to 11,711.50, 17,539.63 and 10,164.13

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Solution

The fourth proportional to 11,711.50, 17,539.63 and 10,164.13 is: 15,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.50 : 17,539.63 = 10,164.13 : x
  2. Step 2: Convert to fraction form
    11,711.50/17,539.63 = 10,164.13/x
  3. Step 3: Cross multiply
    11,711.50x = 17,539.63 × 10,164.13
  4. Step 4: Simplify right side
    11,711.50x = 178,275,079.47
  5. Step 5: Solve for x
    x = 178,275,079.47/11,711.50
  6. Step 6: Final answer
    x = 15,222.22

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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.