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Finding the Fourth Proportional to 9,405.68, 12,979.64 and 5,213.84

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Solution

The fourth proportional to 9,405.68, 12,979.64 and 5,213.84 is: 7,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.68 : 12,979.64 = 5,213.84 : x
  2. Step 2: Convert to fraction form
    9,405.68/12,979.64 = 5,213.84/x
  3. Step 3: Cross multiply
    9,405.68x = 12,979.64 × 5,213.84
  4. Step 4: Simplify right side
    9,405.68x = 67,673,766.22
  5. Step 5: Solve for x
    x = 67,673,766.22/9,405.68
  6. Step 6: Final answer
    x = 7,194.99

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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.