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Finding the Fourth Proportional to 3,143.21, 4,714.81 and 803.21

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Solution

The fourth proportional to 3,143.21, 4,714.81 and 803.21 is: 1,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.21 : 4,714.81 = 803.21 : x
  2. Step 2: Convert to fraction form
    3,143.21/4,714.81 = 803.21/x
  3. Step 3: Cross multiply
    3,143.21x = 4,714.81 × 803.21
  4. Step 4: Simplify right side
    3,143.21x = 3,786,982.54
  5. Step 5: Solve for x
    x = 3,786,982.54/3,143.21
  6. Step 6: Final answer
    x = 1,204.81

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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.