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Finding the Fourth Proportional to 5,179.64, 7,772.80 and 1,892.46

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Solution

The fourth proportional to 5,179.64, 7,772.80 and 1,892.46 is: 2,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.64 : 7,772.80 = 1,892.46 : x
  2. Step 2: Convert to fraction form
    5,179.64/7,772.80 = 1,892.46/x
  3. Step 3: Cross multiply
    5,179.64x = 7,772.80 × 1,892.46
  4. Step 4: Simplify right side
    5,179.64x = 14,709,713.09
  5. Step 5: Solve for x
    x = 14,709,713.09/5,179.64
  6. Step 6: Final answer
    x = 2,839.91

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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.