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Finding the Fourth Proportional to 5,815.92, 8,724.48 and 1,920.32

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Solution

The fourth proportional to 5,815.92, 8,724.48 and 1,920.32 is: 2,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.92 : 8,724.48 = 1,920.32 : x
  2. Step 2: Convert to fraction form
    5,815.92/8,724.48 = 1,920.32/x
  3. Step 3: Cross multiply
    5,815.92x = 8,724.48 × 1,920.32
  4. Step 4: Simplify right side
    5,815.92x = 16,753,793.43
  5. Step 5: Solve for x
    x = 16,753,793.43/5,815.92
  6. Step 6: Final answer
    x = 2,880.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.