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Finding the Fourth Proportional to 7,809.12, 11,713.68 and 3,921.12

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Solution

The fourth proportional to 7,809.12, 11,713.68 and 3,921.12 is: 5,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.12 : 11,713.68 = 3,921.12 : x
  2. Step 2: Convert to fraction form
    7,809.12/11,713.68 = 3,921.12/x
  3. Step 3: Cross multiply
    7,809.12x = 11,713.68 × 3,921.12
  4. Step 4: Simplify right side
    7,809.12x = 45,930,744.92
  5. Step 5: Solve for x
    x = 45,930,744.92/7,809.12
  6. Step 6: Final answer
    x = 5,881.68

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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.