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Finding the Fourth Proportional to 7,063.82, 9,747.84 and 3,920.24

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Solution

The fourth proportional to 7,063.82, 9,747.84 and 3,920.24 is: 5,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.82 : 9,747.84 = 3,920.24 : x
  2. Step 2: Convert to fraction form
    7,063.82/9,747.84 = 3,920.24/x
  3. Step 3: Cross multiply
    7,063.82x = 9,747.84 × 3,920.24
  4. Step 4: Simplify right side
    7,063.82x = 38,213,872.28
  5. Step 5: Solve for x
    x = 38,213,872.28/7,063.82
  6. Step 6: Final answer
    x = 5,409.80

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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.