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Finding the Fourth Proportional to 26,961, 37,206.18 and 15,783

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Solution

The fourth proportional to 26,961, 37,206.18 and 15,783 is: 21,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961 : 37,206.18 = 15,783 : x
  2. Step 2: Convert to fraction form
    26,961/37,206.18 = 15,783/x
  3. Step 3: Cross multiply
    26,961x = 37,206.18 × 15,783
  4. Step 4: Simplify right side
    26,961x = 587,225,138.94
  5. Step 5: Solve for x
    x = 587,225,138.94/26,961
  6. Step 6: Final answer
    x = 21,780.54

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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.