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Finding the Fourth Proportional to 3,788.91, 5,233.86 and 3,205.71

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Solution

The fourth proportional to 3,788.91, 5,233.86 and 3,205.71 is: 4,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.91 : 5,233.86 = 3,205.71 : x
  2. Step 2: Convert to fraction form
    3,788.91/5,233.86 = 3,205.71/x
  3. Step 3: Cross multiply
    3,788.91x = 5,233.86 × 3,205.71
  4. Step 4: Simplify right side
    3,788.91x = 16,778,237.34
  5. Step 5: Solve for x
    x = 16,778,237.34/3,788.91
  6. Step 6: Final answer
    x = 4,428.25

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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.