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Finding the Fourth Proportional to 12,770.64, 17,619.36 and 8,298

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Solution

The fourth proportional to 12,770.64, 17,619.36 and 8,298 is: 11,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.64 : 17,619.36 = 8,298 : x
  2. Step 2: Convert to fraction form
    12,770.64/17,619.36 = 8,298/x
  3. Step 3: Cross multiply
    12,770.64x = 17,619.36 × 8,298
  4. Step 4: Simplify right side
    12,770.64x = 146,205,449.28
  5. Step 5: Solve for x
    x = 146,205,449.28/12,770.64
  6. Step 6: Final answer
    x = 11,448.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.