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Finding the Fourth Proportional to 3,783.77, 5,217.05 and 3,155.21

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Solution

The fourth proportional to 3,783.77, 5,217.05 and 3,155.21 is: 4,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.77 : 5,217.05 = 3,155.21 : x
  2. Step 2: Convert to fraction form
    3,783.77/5,217.05 = 3,155.21/x
  3. Step 3: Cross multiply
    3,783.77x = 5,217.05 × 3,155.21
  4. Step 4: Simplify right side
    3,783.77x = 16,460,888.33
  5. Step 5: Solve for x
    x = 16,460,888.33/3,783.77
  6. Step 6: Final answer
    x = 4,350.39

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Half scale
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Double scale
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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.