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Finding the Fourth Proportional to 5,676.92, 7,834.30 and 3,439.20

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Solution

The fourth proportional to 5,676.92, 7,834.30 and 3,439.20 is: 4,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.92 : 7,834.30 = 3,439.20 : x
  2. Step 2: Convert to fraction form
    5,676.92/7,834.30 = 3,439.20/x
  3. Step 3: Cross multiply
    5,676.92x = 7,834.30 × 3,439.20
  4. Step 4: Simplify right side
    5,676.92x = 26,943,724.56
  5. Step 5: Solve for x
    x = 26,943,724.56/5,676.92
  6. Step 6: Final answer
    x = 4,746.19

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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.