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Finding the Fourth Proportional to 6,980.67, 9,634.01 and 5,209.20

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Solution

The fourth proportional to 6,980.67, 9,634.01 and 5,209.20 is: 7,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.67 : 9,634.01 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    6,980.67/9,634.01 = 5,209.20/x
  3. Step 3: Cross multiply
    6,980.67x = 9,634.01 × 5,209.20
  4. Step 4: Simplify right side
    6,980.67x = 50,185,458.85
  5. Step 5: Solve for x
    x = 50,185,458.85/6,980.67
  6. Step 6: Final answer
    x = 7,189.20

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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.