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Finding the Fourth Proportional to 12,475.68, 18,713.54 and 8,323.80

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Solution

The fourth proportional to 12,475.68, 18,713.54 and 8,323.80 is: 12,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.68 : 18,713.54 = 8,323.80 : x
  2. Step 2: Convert to fraction form
    12,475.68/18,713.54 = 8,323.80/x
  3. Step 3: Cross multiply
    12,475.68x = 18,713.54 × 8,323.80
  4. Step 4: Simplify right side
    12,475.68x = 155,767,764.25
  5. Step 5: Solve for x
    x = 155,767,764.25/12,475.68
  6. Step 6: Final answer
    x = 12,485.71

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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.