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Finding the Fourth Proportional to 12,480.96, 18,697.68 and 7,786.32

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Solution

The fourth proportional to 12,480.96, 18,697.68 and 7,786.32 is: 11,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.96 : 18,697.68 = 7,786.32 : x
  2. Step 2: Convert to fraction form
    12,480.96/18,697.68 = 7,786.32/x
  3. Step 3: Cross multiply
    12,480.96x = 18,697.68 × 7,786.32
  4. Step 4: Simplify right side
    12,480.96x = 145,586,119.74
  5. Step 5: Solve for x
    x = 145,586,119.74/12,480.96
  6. Step 6: Final answer
    x = 11,664.66

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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.