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Finding the Fourth Proportional to 26,406, 36,440.28 and 15,228

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Solution

The fourth proportional to 26,406, 36,440.28 and 15,228 is: 21,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406 : 36,440.28 = 15,228 : x
  2. Step 2: Convert to fraction form
    26,406/36,440.28 = 15,228/x
  3. Step 3: Cross multiply
    26,406x = 36,440.28 × 15,228
  4. Step 4: Simplify right side
    26,406x = 554,912,583.84
  5. Step 5: Solve for x
    x = 554,912,583.84/26,406
  6. Step 6: Final answer
    x = 21,014.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.