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Finding the Fourth Proportional to 2,815.08, 4,222.62 and 763.08

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Solution

The fourth proportional to 2,815.08, 4,222.62 and 763.08 is: 1,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.08 : 4,222.62 = 763.08 : x
  2. Step 2: Convert to fraction form
    2,815.08/4,222.62 = 763.08/x
  3. Step 3: Cross multiply
    2,815.08x = 4,222.62 × 763.08
  4. Step 4: Simplify right side
    2,815.08x = 3,222,196.87
  5. Step 5: Solve for x
    x = 3,222,196.87/2,815.08
  6. Step 6: Final answer
    x = 1,144.62

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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.