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Finding the Fourth Proportional to 10,920, 16,380 and 3,530.64

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Solution

The fourth proportional to 10,920, 16,380 and 3,530.64 is: 5,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 16,380 = 3,530.64 : x
  2. Step 2: Convert to fraction form
    10,920/16,380 = 3,530.64/x
  3. Step 3: Cross multiply
    10,920x = 16,380 × 3,530.64
  4. Step 4: Simplify right side
    10,920x = 57,831,883.20
  5. Step 5: Solve for x
    x = 57,831,883.20/10,920
  6. Step 6: Final answer
    x = 5,295.96

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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.