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Finding the Fourth Proportional to 26,130, 39,201.51 and 7,662

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Solution

The fourth proportional to 26,130, 39,201.51 and 7,662 is: 11,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,130 : 39,201.51 = 7,662 : x
  2. Step 2: Convert to fraction form
    26,130/39,201.51 = 7,662/x
  3. Step 3: Cross multiply
    26,130x = 39,201.51 × 7,662
  4. Step 4: Simplify right side
    26,130x = 300,361,969.62
  5. Step 5: Solve for x
    x = 300,361,969.62/26,130
  6. Step 6: Final answer
    x = 11,494.91

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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.