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Finding the Fourth Proportional to 6,991.98, 9,648.36 and 4,338.42

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Solution

The fourth proportional to 6,991.98, 9,648.36 and 4,338.42 is: 5,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.98 : 9,648.36 = 4,338.42 : x
  2. Step 2: Convert to fraction form
    6,991.98/9,648.36 = 4,338.42/x
  3. Step 3: Cross multiply
    6,991.98x = 9,648.36 × 4,338.42
  4. Step 4: Simplify right side
    6,991.98x = 41,858,637.99
  5. Step 5: Solve for x
    x = 41,858,637.99/6,991.98
  6. Step 6: Final answer
    x = 5,986.66

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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.