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Finding the Fourth Proportional to 9,213.80, 13,809.76 and 5,310.14

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Solution

The fourth proportional to 9,213.80, 13,809.76 and 5,310.14 is: 7,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.80 : 13,809.76 = 5,310.14 : x
  2. Step 2: Convert to fraction form
    9,213.80/13,809.76 = 5,310.14/x
  3. Step 3: Cross multiply
    9,213.80x = 13,809.76 × 5,310.14
  4. Step 4: Simplify right side
    9,213.80x = 73,331,676.64
  5. Step 5: Solve for x
    x = 73,331,676.64/9,213.80
  6. Step 6: Final answer
    x = 7,958.90

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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.