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Finding the Fourth Proportional to 13,021.16, 17,969.10 and 7,052.81

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Solution

The fourth proportional to 13,021.16, 17,969.10 and 7,052.81 is: 9,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.16 : 17,969.10 = 7,052.81 : x
  2. Step 2: Convert to fraction form
    13,021.16/17,969.10 = 7,052.81/x
  3. Step 3: Cross multiply
    13,021.16x = 17,969.10 × 7,052.81
  4. Step 4: Simplify right side
    13,021.16x = 126,732,648.17
  5. Step 5: Solve for x
    x = 126,732,648.17/13,021.16
  6. Step 6: Final answer
    x = 9,732.82

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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.