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Finding the Fourth Proportional to 7,136.82, 9,848.82 and 3,993

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Solution

The fourth proportional to 7,136.82, 9,848.82 and 3,993 is: 5,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.82 : 9,848.82 = 3,993 : x
  2. Step 2: Convert to fraction form
    7,136.82/9,848.82 = 3,993/x
  3. Step 3: Cross multiply
    7,136.82x = 9,848.82 × 3,993
  4. Step 4: Simplify right side
    7,136.82x = 39,326,338.26
  5. Step 5: Solve for x
    x = 39,326,338.26/7,136.82
  6. Step 6: Final answer
    x = 5,510.34

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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.