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Finding the Fourth Proportional to 12,770.26, 17,620.36 and 7,464.06

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Solution

The fourth proportional to 12,770.26, 17,620.36 and 7,464.06 is: 10,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.26 : 17,620.36 = 7,464.06 : x
  2. Step 2: Convert to fraction form
    12,770.26/17,620.36 = 7,464.06/x
  3. Step 3: Cross multiply
    12,770.26x = 17,620.36 × 7,464.06
  4. Step 4: Simplify right side
    12,770.26x = 131,519,424.26
  5. Step 5: Solve for x
    x = 131,519,424.26/12,770.26
  6. Step 6: Final answer
    x = 10,298.88

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