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Finding the Fourth Proportional to 17,722.70, 26,543.74 and 13,742.05

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Solution

The fourth proportional to 17,722.70, 26,543.74 and 13,742.05 is: 20,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.70 : 26,543.74 = 13,742.05 : x
  2. Step 2: Convert to fraction form
    17,722.70/26,543.74 = 13,742.05/x
  3. Step 3: Cross multiply
    17,722.70x = 26,543.74 × 13,742.05
  4. Step 4: Simplify right side
    17,722.70x = 364,765,402.27
  5. Step 5: Solve for x
    x = 364,765,402.27/17,722.70
  6. Step 6: Final answer
    x = 20,581.82

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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.