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Finding the Fourth Proportional to 12,627.24, 18,918.24 and 7,694.28

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Solution

The fourth proportional to 12,627.24, 18,918.24 and 7,694.28 is: 11,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.24 : 18,918.24 = 7,694.28 : x
  2. Step 2: Convert to fraction form
    12,627.24/18,918.24 = 7,694.28/x
  3. Step 3: Cross multiply
    12,627.24x = 18,918.24 × 7,694.28
  4. Step 4: Simplify right side
    12,627.24x = 145,562,235.67
  5. Step 5: Solve for x
    x = 145,562,235.67/12,627.24
  6. Step 6: Final answer
    x = 11,527.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.