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Finding the Fourth Proportional to 9,682.80, 13,350.60 and 7,447.20

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Solution

The fourth proportional to 9,682.80, 13,350.60 and 7,447.20 is: 10,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 13,350.60 = 7,447.20 : x
  2. Step 2: Convert to fraction form
    9,682.80/13,350.60 = 7,447.20/x
  3. Step 3: Cross multiply
    9,682.80x = 13,350.60 × 7,447.20
  4. Step 4: Simplify right side
    9,682.80x = 99,424,588.32
  5. Step 5: Solve for x
    x = 99,424,588.32/9,682.80
  6. Step 6: Final answer
    x = 10,268.17

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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.