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Finding the Fourth Proportional to 9,167.90, 12,651.74 and 5,189.78

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Solution

The fourth proportional to 9,167.90, 12,651.74 and 5,189.78 is: 7,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.90 : 12,651.74 = 5,189.78 : x
  2. Step 2: Convert to fraction form
    9,167.90/12,651.74 = 5,189.78/x
  3. Step 3: Cross multiply
    9,167.90x = 12,651.74 × 5,189.78
  4. Step 4: Simplify right side
    9,167.90x = 65,659,706.44
  5. Step 5: Solve for x
    x = 65,659,706.44/9,167.90
  6. Step 6: Final answer
    x = 7,161.92

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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.