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Finding the Fourth Proportional to 5,709.38, 7,878.30 and 3,318.62

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Solution

The fourth proportional to 5,709.38, 7,878.30 and 3,318.62 is: 4,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.38 : 7,878.30 = 3,318.62 : x
  2. Step 2: Convert to fraction form
    5,709.38/7,878.30 = 3,318.62/x
  3. Step 3: Cross multiply
    5,709.38x = 7,878.30 × 3,318.62
  4. Step 4: Simplify right side
    5,709.38x = 26,145,083.95
  5. Step 5: Solve for x
    x = 26,145,083.95/5,709.38
  6. Step 6: Final answer
    x = 4,579.32

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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.