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Finding the Fourth Proportional to 13,965, 20,951.28 and 4,731

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Solution

The fourth proportional to 13,965, 20,951.28 and 4,731 is: 7,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965 : 20,951.28 = 4,731 : x
  2. Step 2: Convert to fraction form
    13,965/20,951.28 = 4,731/x
  3. Step 3: Cross multiply
    13,965x = 20,951.28 × 4,731
  4. Step 4: Simplify right side
    13,965x = 99,120,505.68
  5. Step 5: Solve for x
    x = 99,120,505.68/13,965
  6. Step 6: Final answer
    x = 7,097.78

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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.