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Finding the Fourth Proportional to 5,709.69, 7,880.40 and 3,351.96

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Solution

The fourth proportional to 5,709.69, 7,880.40 and 3,351.96 is: 4,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.69 : 7,880.40 = 3,351.96 : x
  2. Step 2: Convert to fraction form
    5,709.69/7,880.40 = 3,351.96/x
  3. Step 3: Cross multiply
    5,709.69x = 7,880.40 × 3,351.96
  4. Step 4: Simplify right side
    5,709.69x = 26,414,785.58
  5. Step 5: Solve for x
    x = 26,414,785.58/5,709.69
  6. Step 6: Final answer
    x = 4,626.31

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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.