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Finding the Fourth Proportional to 9,142.46, 12,615 and 5,163.47

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Solution

The fourth proportional to 9,142.46, 12,615 and 5,163.47 is: 7,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.46 : 12,615 = 5,163.47 : x
  2. Step 2: Convert to fraction form
    9,142.46/12,615 = 5,163.47/x
  3. Step 3: Cross multiply
    9,142.46x = 12,615 × 5,163.47
  4. Step 4: Simplify right side
    9,142.46x = 65,137,174.05
  5. Step 5: Solve for x
    x = 65,137,174.05/9,142.46
  6. Step 6: Final answer
    x = 7,124.69

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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.