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Finding the Fourth Proportional to 3,009.02, 4,513.49 and 817.73

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Solution

The fourth proportional to 3,009.02, 4,513.49 and 817.73 is: 1,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.02 : 4,513.49 = 817.73 : x
  2. Step 2: Convert to fraction form
    3,009.02/4,513.49 = 817.73/x
  3. Step 3: Cross multiply
    3,009.02x = 4,513.49 × 817.73
  4. Step 4: Simplify right side
    3,009.02x = 3,690,789.52
  5. Step 5: Solve for x
    x = 3,690,789.52/3,009.02
  6. Step 6: Final answer
    x = 1,226.58

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,010.02, 4,514.98 and 818.73
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.