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Finding the Fourth Proportional to 5,678.73, 7,836.59 and 3,160.79

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Solution

The fourth proportional to 5,678.73, 7,836.59 and 3,160.79 is: 4,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.73 : 7,836.59 = 3,160.79 : x
  2. Step 2: Convert to fraction form
    5,678.73/7,836.59 = 3,160.79/x
  3. Step 3: Cross multiply
    5,678.73x = 7,836.59 × 3,160.79
  4. Step 4: Simplify right side
    5,678.73x = 24,769,760.32
  5. Step 5: Solve for x
    x = 24,769,760.32/5,678.73
  6. Step 6: Final answer
    x = 4,361.85

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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.