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Finding the Fourth Proportional to 26,949.20, 40,409.40 and 11,349.20

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Solution

The fourth proportional to 26,949.20, 40,409.40 and 11,349.20 is: 17,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,949.20 : 40,409.40 = 11,349.20 : x
  2. Step 2: Convert to fraction form
    26,949.20/40,409.40 = 11,349.20/x
  3. Step 3: Cross multiply
    26,949.20x = 40,409.40 × 11,349.20
  4. Step 4: Simplify right side
    26,949.20x = 458,614,362.48
  5. Step 5: Solve for x
    x = 458,614,362.48/26,949.20
  6. Step 6: Final answer
    x = 17,017.74

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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.