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Finding the Fourth Proportional to 9,190, 12,678.27 and 7,192.54

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Solution

The fourth proportional to 9,190, 12,678.27 and 7,192.54 is: 9,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190 : 12,678.27 = 7,192.54 : x
  2. Step 2: Convert to fraction form
    9,190/12,678.27 = 7,192.54/x
  3. Step 3: Cross multiply
    9,190x = 12,678.27 × 7,192.54
  4. Step 4: Simplify right side
    9,190x = 91,188,964.11
  5. Step 5: Solve for x
    x = 91,188,964.11/9,190
  6. Step 6: Final answer
    x = 9,922.63

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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.