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Finding the Fourth Proportional to 20,334.80, 30,492.80 and 9,241.04

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Solution

The fourth proportional to 20,334.80, 30,492.80 and 9,241.04 is: 13,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334.80 : 30,492.80 = 9,241.04 : x
  2. Step 2: Convert to fraction form
    20,334.80/30,492.80 = 9,241.04/x
  3. Step 3: Cross multiply
    20,334.80x = 30,492.80 × 9,241.04
  4. Step 4: Simplify right side
    20,334.80x = 281,785,184.51
  5. Step 5: Solve for x
    x = 281,785,184.51/20,334.80
  6. Step 6: Final answer
    x = 13,857.29

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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.