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Finding the Fourth Proportional to 26,182, 36,130.89 and 15,571.41

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Solution

The fourth proportional to 26,182, 36,130.89 and 15,571.41 is: 21,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182 : 36,130.89 = 15,571.41 : x
  2. Step 2: Convert to fraction form
    26,182/36,130.89 = 15,571.41/x
  3. Step 3: Cross multiply
    26,182x = 36,130.89 × 15,571.41
  4. Step 4: Simplify right side
    26,182x = 562,608,901.85
  5. Step 5: Solve for x
    x = 562,608,901.85/26,182
  6. Step 6: Final answer
    x = 21,488.39

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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.