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Finding the Fourth Proportional to 9,177, 12,662.76 and 5,198.08

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Solution

The fourth proportional to 9,177, 12,662.76 and 5,198.08 is: 7,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177 : 12,662.76 = 5,198.08 : x
  2. Step 2: Convert to fraction form
    9,177/12,662.76 = 5,198.08/x
  3. Step 3: Cross multiply
    9,177x = 12,662.76 × 5,198.08
  4. Step 4: Simplify right side
    9,177x = 65,822,039.50
  5. Step 5: Solve for x
    x = 65,822,039.50/9,177
  6. Step 6: Final answer
    x = 7,172.50

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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.