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Finding the Fourth Proportional to 26,090, 39,135.04 and 7,622

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Solution

The fourth proportional to 26,090, 39,135.04 and 7,622 is: 11,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 39,135.04 = 7,622 : x
  2. Step 2: Convert to fraction form
    26,090/39,135.04 = 7,622/x
  3. Step 3: Cross multiply
    26,090x = 39,135.04 × 7,622
  4. Step 4: Simplify right side
    26,090x = 298,287,274.88
  5. Step 5: Solve for x
    x = 298,287,274.88/26,090
  6. Step 6: Final answer
    x = 11,433.01

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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.