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Finding the Fourth Proportional to 6,969.85, 9,624.62 and 5,198.38

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Solution

The fourth proportional to 6,969.85, 9,624.62 and 5,198.38 is: 7,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.85 : 9,624.62 = 5,198.38 : x
  2. Step 2: Convert to fraction form
    6,969.85/9,624.62 = 5,198.38/x
  3. Step 3: Cross multiply
    6,969.85x = 9,624.62 × 5,198.38
  4. Step 4: Simplify right side
    6,969.85x = 50,032,421.05
  5. Step 5: Solve for x
    x = 50,032,421.05/6,969.85
  6. Step 6: Final answer
    x = 7,178.41

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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.