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Finding the Fourth Proportional to 23,440, 35,168.64 and 12,346.24

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Solution

The fourth proportional to 23,440, 35,168.64 and 12,346.24 is: 18,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440 : 35,168.64 = 12,346.24 : x
  2. Step 2: Convert to fraction form
    23,440/35,168.64 = 12,346.24/x
  3. Step 3: Cross multiply
    23,440x = 35,168.64 × 12,346.24
  4. Step 4: Simplify right side
    23,440x = 434,200,469.91
  5. Step 5: Solve for x
    x = 434,200,469.91/23,440
  6. Step 6: Final answer
    x = 18,523.91

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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.