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Finding the Fourth Proportional to 3,781.96, 5,647.44 and 3,089.99

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Solution

The fourth proportional to 3,781.96, 5,647.44 and 3,089.99 is: 4,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.96 : 5,647.44 = 3,089.99 : x
  2. Step 2: Convert to fraction form
    3,781.96/5,647.44 = 3,089.99/x
  3. Step 3: Cross multiply
    3,781.96x = 5,647.44 × 3,089.99
  4. Step 4: Simplify right side
    3,781.96x = 17,450,533.13
  5. Step 5: Solve for x
    x = 17,450,533.13/3,781.96
  6. Step 6: Final answer
    x = 4,614.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.