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Finding the Fourth Proportional to 13,040.60, 19,546.14 and 6,471.32

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Solution

The fourth proportional to 13,040.60, 19,546.14 and 6,471.32 is: 9,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.60 : 19,546.14 = 6,471.32 : x
  2. Step 2: Convert to fraction form
    13,040.60/19,546.14 = 6,471.32/x
  3. Step 3: Cross multiply
    13,040.60x = 19,546.14 × 6,471.32
  4. Step 4: Simplify right side
    13,040.60x = 126,489,326.70
  5. Step 5: Solve for x
    x = 126,489,326.70/13,040.60
  6. Step 6: Final answer
    x = 9,699.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.