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Finding the Fourth Proportional to 6,970.85, 9,626 and 5,199.38

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Solution

The fourth proportional to 6,970.85, 9,626 and 5,199.38 is: 7,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.85 : 9,626 = 5,199.38 : x
  2. Step 2: Convert to fraction form
    6,970.85/9,626 = 5,199.38/x
  3. Step 3: Cross multiply
    6,970.85x = 9,626 × 5,199.38
  4. Step 4: Simplify right side
    6,970.85x = 50,049,231.88
  5. Step 5: Solve for x
    x = 50,049,231.88/6,970.85
  6. Step 6: Final answer
    x = 7,179.79

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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.