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Finding the Fourth Proportional to 14,456, 21,684.16 and 3,512

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Solution

The fourth proportional to 14,456, 21,684.16 and 3,512 is: 5,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456 : 21,684.16 = 3,512 : x
  2. Step 2: Convert to fraction form
    14,456/21,684.16 = 3,512/x
  3. Step 3: Cross multiply
    14,456x = 21,684.16 × 3,512
  4. Step 4: Simplify right side
    14,456x = 76,154,769.92
  5. Step 5: Solve for x
    x = 76,154,769.92/14,456
  6. Step 6: Final answer
    x = 5,268.04

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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.