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Finding the Fourth Proportional to 26,200, 39,300 and 7,731.52

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Solution

The fourth proportional to 26,200, 39,300 and 7,731.52 is: 11,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 39,300 = 7,731.52 : x
  2. Step 2: Convert to fraction form
    26,200/39,300 = 7,731.52/x
  3. Step 3: Cross multiply
    26,200x = 39,300 × 7,731.52
  4. Step 4: Simplify right side
    26,200x = 303,848,736
  5. Step 5: Solve for x
    x = 303,848,736/26,200
  6. Step 6: Final answer
    x = 11,597.28

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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.