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Finding the Fourth Proportional to 17,761.76, 26,628.49 and 10,256.81

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Solution

The fourth proportional to 17,761.76, 26,628.49 and 10,256.81 is: 15,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.76 : 26,628.49 = 10,256.81 : x
  2. Step 2: Convert to fraction form
    17,761.76/26,628.49 = 10,256.81/x
  3. Step 3: Cross multiply
    17,761.76x = 26,628.49 × 10,256.81
  4. Step 4: Simplify right side
    17,761.76x = 273,123,242.20
  5. Step 5: Solve for x
    x = 273,123,242.20/17,761.76
  6. Step 6: Final answer
    x = 15,377.03

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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.