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Finding the Fourth Proportional to 13,020.53, 17,968.00 and 7,355.87

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Solution

The fourth proportional to 13,020.53, 17,968.00 and 7,355.87 is: 10,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.53 : 17,968.00 = 7,355.87 : x
  2. Step 2: Convert to fraction form
    13,020.53/17,968.00 = 7,355.87/x
  3. Step 3: Cross multiply
    13,020.53x = 17,968.00 × 7,355.87
  4. Step 4: Simplify right side
    13,020.53x = 132,170,163.93
  5. Step 5: Solve for x
    x = 132,170,163.93/13,020.53
  6. Step 6: Final answer
    x = 10,150.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.