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Finding the Fourth Proportional to 6,991.06, 9,647.47 and 3,966.73

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Solution

The fourth proportional to 6,991.06, 9,647.47 and 3,966.73 is: 5,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.06 : 9,647.47 = 3,966.73 : x
  2. Step 2: Convert to fraction form
    6,991.06/9,647.47 = 3,966.73/x
  3. Step 3: Cross multiply
    6,991.06x = 9,647.47 × 3,966.73
  4. Step 4: Simplify right side
    6,991.06x = 38,268,908.67
  5. Step 5: Solve for x
    x = 38,268,908.67/6,991.06
  6. Step 6: Final answer
    x = 5,473.98

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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.