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Finding the Fourth Proportional to 7,049.51, 9,727.34 and 3,905.90

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Solution

The fourth proportional to 7,049.51, 9,727.34 and 3,905.90 is: 5,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.51 : 9,727.34 = 3,905.90 : x
  2. Step 2: Convert to fraction form
    7,049.51/9,727.34 = 3,905.90/x
  3. Step 3: Cross multiply
    7,049.51x = 9,727.34 × 3,905.90
  4. Step 4: Simplify right side
    7,049.51x = 37,993,949.14
  5. Step 5: Solve for x
    x = 37,993,949.14/7,049.51
  6. Step 6: Final answer
    x = 5,389.59

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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.