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Finding the Fourth Proportional to 12,209.68, 18,302.06 and 4,811.14

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Solution

The fourth proportional to 12,209.68, 18,302.06 and 4,811.14 is: 7,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.68 : 18,302.06 = 4,811.14 : x
  2. Step 2: Convert to fraction form
    12,209.68/18,302.06 = 4,811.14/x
  3. Step 3: Cross multiply
    12,209.68x = 18,302.06 × 4,811.14
  4. Step 4: Simplify right side
    12,209.68x = 88,053,739.22
  5. Step 5: Solve for x
    x = 88,053,739.22/12,209.68
  6. Step 6: Final answer
    x = 7,211.80

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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.