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Finding the Fourth Proportional to 13,022.42, 17,969.87 and 7,357.66

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Solution

The fourth proportional to 13,022.42, 17,969.87 and 7,357.66 is: 10,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.42 : 17,969.87 = 7,357.66 : x
  2. Step 2: Convert to fraction form
    13,022.42/17,969.87 = 7,357.66/x
  3. Step 3: Cross multiply
    13,022.42x = 17,969.87 × 7,357.66
  4. Step 4: Simplify right side
    13,022.42x = 132,216,130.39
  5. Step 5: Solve for x
    x = 132,216,130.39/13,022.42
  6. Step 6: Final answer
    x = 10,152.96

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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.