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Finding the Fourth Proportional to 7,135.80, 9,846 and 3,991.38

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Solution

The fourth proportional to 7,135.80, 9,846 and 3,991.38 is: 5,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.80 : 9,846 = 3,991.38 : x
  2. Step 2: Convert to fraction form
    7,135.80/9,846 = 3,991.38/x
  3. Step 3: Cross multiply
    7,135.80x = 9,846 × 3,991.38
  4. Step 4: Simplify right side
    7,135.80x = 39,299,127.48
  5. Step 5: Solve for x
    x = 39,299,127.48/7,135.80
  6. Step 6: Final answer
    x = 5,507.32

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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.