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Finding the Fourth Proportional to 9,172.43, 12,609.22 and 7,891.60

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Solution

The fourth proportional to 9,172.43, 12,609.22 and 7,891.60 is: 10,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.43 : 12,609.22 = 7,891.60 : x
  2. Step 2: Convert to fraction form
    9,172.43/12,609.22 = 7,891.60/x
  3. Step 3: Cross multiply
    9,172.43x = 12,609.22 × 7,891.60
  4. Step 4: Simplify right side
    9,172.43x = 99,506,920.55
  5. Step 5: Solve for x
    x = 99,506,920.55/9,172.43
  6. Step 6: Final answer
    x = 10,848.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.