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Finding the Fourth Proportional to 13,163.04, 18,165.04 and 7,574

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Solution

The fourth proportional to 13,163.04, 18,165.04 and 7,574 is: 10,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.04 : 18,165.04 = 7,574 : x
  2. Step 2: Convert to fraction form
    13,163.04/18,165.04 = 7,574/x
  3. Step 3: Cross multiply
    13,163.04x = 18,165.04 × 7,574
  4. Step 4: Simplify right side
    13,163.04x = 137,582,012.96
  5. Step 5: Solve for x
    x = 137,582,012.96/13,163.04
  6. Step 6: Final answer
    x = 10,452.15

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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.