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Finding the Fourth Proportional to 26,978.90, 40,469.55 and 9,209.30

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Solution

The fourth proportional to 26,978.90, 40,469.55 and 9,209.30 is: 13,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.90 : 40,469.55 = 9,209.30 : x
  2. Step 2: Convert to fraction form
    26,978.90/40,469.55 = 9,209.30/x
  3. Step 3: Cross multiply
    26,978.90x = 40,469.55 × 9,209.30
  4. Step 4: Simplify right side
    26,978.90x = 372,696,226.82
  5. Step 5: Solve for x
    x = 372,696,226.82/26,978.90
  6. Step 6: Final answer
    x = 13,814.36

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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.