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Finding the Fourth Proportional to 5,712.75, 7,884.90 and 3,355.65

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Solution

The fourth proportional to 5,712.75, 7,884.90 and 3,355.65 is: 4,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.75 : 7,884.90 = 3,355.65 : x
  2. Step 2: Convert to fraction form
    5,712.75/7,884.90 = 3,355.65/x
  3. Step 3: Cross multiply
    5,712.75x = 7,884.90 × 3,355.65
  4. Step 4: Simplify right side
    5,712.75x = 26,458,964.69
  5. Step 5: Solve for x
    x = 26,458,964.69/5,712.75
  6. Step 6: Final answer
    x = 4,631.56

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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.