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Finding the Fourth Proportional to 2,858.67, 4,286.16 and 1,214.79

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Solution

The fourth proportional to 2,858.67, 4,286.16 and 1,214.79 is: 1,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.67 : 4,286.16 = 1,214.79 : x
  2. Step 2: Convert to fraction form
    2,858.67/4,286.16 = 1,214.79/x
  3. Step 3: Cross multiply
    2,858.67x = 4,286.16 × 1,214.79
  4. Step 4: Simplify right side
    2,858.67x = 5,206,784.31
  5. Step 5: Solve for x
    x = 5,206,784.31/2,858.67
  6. Step 6: Final answer
    x = 1,821.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.