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Finding the Fourth Proportional to 26,809.60, 40,200 and 9,274.24

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Solution

The fourth proportional to 26,809.60, 40,200 and 9,274.24 is: 13,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809.60 : 40,200 = 9,274.24 : x
  2. Step 2: Convert to fraction form
    26,809.60/40,200 = 9,274.24/x
  3. Step 3: Cross multiply
    26,809.60x = 40,200 × 9,274.24
  4. Step 4: Simplify right side
    26,809.60x = 372,824,448
  5. Step 5: Solve for x
    x = 372,824,448/26,809.60
  6. Step 6: Final answer
    x = 13,906.38

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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.