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Finding the Fourth Proportional to 3,021.96, 4,533.10 and 830.86

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Solution

The fourth proportional to 3,021.96, 4,533.10 and 830.86 is: 1,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.96 : 4,533.10 = 830.86 : x
  2. Step 2: Convert to fraction form
    3,021.96/4,533.10 = 830.86/x
  3. Step 3: Cross multiply
    3,021.96x = 4,533.10 × 830.86
  4. Step 4: Simplify right side
    3,021.96x = 3,766,358.06
  5. Step 5: Solve for x
    x = 3,766,358.06/3,021.96
  6. Step 6: Final answer
    x = 1,246.33

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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.