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Finding the Fourth Proportional to 5,198.94, 7,807.05 and 5,158.62

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Solution

The fourth proportional to 5,198.94, 7,807.05 and 5,158.62 is: 7,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.94 : 7,807.05 = 5,158.62 : x
  2. Step 2: Convert to fraction form
    5,198.94/7,807.05 = 5,158.62/x
  3. Step 3: Cross multiply
    5,198.94x = 7,807.05 × 5,158.62
  4. Step 4: Simplify right side
    5,198.94x = 40,273,604.27
  5. Step 5: Solve for x
    x = 40,273,604.27/5,198.94
  6. Step 6: Final answer
    x = 7,746.50

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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.