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Finding the Fourth Proportional to 5,723.68, 7,894.38 and 3,837.39

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Solution

The fourth proportional to 5,723.68, 7,894.38 and 3,837.39 is: 5,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.68 : 7,894.38 = 3,837.39 : x
  2. Step 2: Convert to fraction form
    5,723.68/7,894.38 = 3,837.39/x
  3. Step 3: Cross multiply
    5,723.68x = 7,894.38 × 3,837.39
  4. Step 4: Simplify right side
    5,723.68x = 30,293,814.87
  5. Step 5: Solve for x
    x = 30,293,814.87/5,723.68
  6. Step 6: Final answer
    x = 5,292.72

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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.