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Finding the Fourth Proportional to 5,677.92, 7,836.36 and 3,409.42

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Solution

The fourth proportional to 5,677.92, 7,836.36 and 3,409.42 is: 4,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.92 : 7,836.36 = 3,409.42 : x
  2. Step 2: Convert to fraction form
    5,677.92/7,836.36 = 3,409.42/x
  3. Step 3: Cross multiply
    5,677.92x = 7,836.36 × 3,409.42
  4. Step 4: Simplify right side
    5,677.92x = 26,717,421.97
  5. Step 5: Solve for x
    x = 26,717,421.97/5,677.92
  6. Step 6: Final answer
    x = 4,705.49

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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.