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Finding the Fourth Proportional to 13,030.34, 17,981.62 and 7,364.96

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Solution

The fourth proportional to 13,030.34, 17,981.62 and 7,364.96 is: 10,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.34 : 17,981.62 = 7,364.96 : x
  2. Step 2: Convert to fraction form
    13,030.34/17,981.62 = 7,364.96/x
  3. Step 3: Cross multiply
    13,030.34x = 17,981.62 × 7,364.96
  4. Step 4: Simplify right side
    13,030.34x = 132,433,912.04
  5. Step 5: Solve for x
    x = 132,433,912.04/13,030.34
  6. Step 6: Final answer
    x = 10,163.50

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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.