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Finding the Fourth Proportional to 13,163.40, 18,165.88 and 7,574.40

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Solution

The fourth proportional to 13,163.40, 18,165.88 and 7,574.40 is: 10,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.40 : 18,165.88 = 7,574.40 : x
  2. Step 2: Convert to fraction form
    13,163.40/18,165.88 = 7,574.40/x
  3. Step 3: Cross multiply
    13,163.40x = 18,165.88 × 7,574.40
  4. Step 4: Simplify right side
    13,163.40x = 137,595,641.47
  5. Step 5: Solve for x
    x = 137,595,641.47/13,163.40
  6. Step 6: Final answer
    x = 10,452.90

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1.5x scale

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.